Answer :

If you use a proportion, you'll get:

[tex] \frac{0.25}{12} = \frac{x}{8} [/tex]

Then, you use cross products:

[tex]12x=0.25(8) \\ 12x=2[/tex]

Then, you algebraically solve x:

[tex]12x=2 \\ \frac{12x}{12} = \frac{2}{12} \\ x= \frac{5}{3} [/tex]

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