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I am purchasing a new set of wheels and tires. I've done some research on these forums and I believe I have my answer but would like to double check before I waste lots of money.
I currently own a 2008 Ford F-150 STX 4x4. Everything is stock.
I would think so. I ran a set 20" rims with 305s on my 04 with a lowered Roush Suspension Kit and never had any issues. If you are buying locally from a tire place, have them test mount them to see, but since you are staying with 17 inches wheels, I would say yes since your tire diameter is 31.4" and my 305's had a diameter of 32" and you're at stock ride height.
Any GOOD tire store will be able to tell you if they will work. Some have online charts to give you the combo's that will fit your truck. I recently went up 2 tire sizes on 2 of my vehicles with no probs. Have 33's on my '72 Ford.