Verified Answer :

If you use a proportion, you'll get:

\(\frac{0.25}{12} = \frac{x}{8}\)

Then, you use cross products:

\(12x=0.25(8) \\ 12x=2\)

Then, you algebraically solve x:

\(12x=2 \\ \frac{12x}{12} = \frac{2}{12} \\ x= \frac{5}{3}\)

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.