The plastic lines are not 1/8. They are thin wall so more like 3/16". Regardless, it worked. However, they are all VERY old and should be replaced without a doubt or delay. Running the 1/4" hose is a fine idea. Use ethanol-happy fuel line. Be careful how it is routed and support it where needed.
I would also plumb back in the plugged off third line. It's a metered feed back to the tank to keep the fuel circulating and cool as the engine compartment can get very hot.