I wish I had pictures...mine's in storage at the moment.
The short answer is "yes"...the 170's fuel line should run from the console, through the trough, emerging at the transom and snapping to the engine. As does mine.
But here's a description of my fuel lines, anyway:
First of all, I have two tanks...a 27-gallon under-floor tank, and a 6-gallon plastic reserve tank that fits under my console. I don't always carry the 6 gallon...it's more for times when I know I will be running offshore. 33 gallons goes a long way with an 88 Johnson. So I like to be able to remove it. Space is at a premium under the console.
OK? Ok.
So, on the inside "wall" of my console, on a 4" x 3/4" square piece of mahogany , I mounted a bronze T-valve with 3 hose-barbs connections, and a "wing" handle to switch from one tank's fuel to the other. Picture a "T"...the bottom of the "T" is for the fuel line that runs to the engine.
The right and left sides of the "T" are for the fuel lines from the two tanks. The wing handle selects either the 27-, or the 6-gallon side.
My 27-gallon tank's fuel line comes up through the floor via a fitting under the console. It attaches to one side of the "T".
The hose for my 6-gallon stays permanently attached to the other side of the "T", with a quick-connect on the other end of about 4 feet of hose. That quick-connect snaps on to my 6-gallon.
This 4-foot hose stays coiled up on the valve assembly, nicely out of the way. There is a primer bulb in the 4-foot line.
I know what some of you are thinking: "Why doesn't he just move the 6-gallon to the stern when he needs it, and snap the hose directly to the motor?" Well, I could, but it's heavy, it's unwieldly, and it's just easier to turn the valve, squeeze the primer bulb in the 4-foot hose, and keep movin'. Also, I can turn the valve to the "middle", shutting off fuel from either tank.
Last thing: Be sure to use the correct size fuel hose...(3/8ths I.D. or whatever.) The valve should be at least this size as well. And use double hose-clamps.