Model # would be helpful as there are lots of Honda small engines.
My GCV160 has 5.5mm fuel lines (.217"). That would equate to 7/32", but good luck with that size.
BTW 3/16 = .1875. Doubt if you can stretch it that far without distortion that will limit its life.
Part number for 5.5 mm bulk hose, which by the way, I found at a Honda motorcycle dealer is 95001-55008-60M.
Good luck.