Solve the following proportion for v. (7)/(v)=(3)/(17) Round your answer to the nearest tenth. v= square

To solve the proportion $\frac{7}{v} = \frac{3}{17}$ for $v$, we can use cross-multiplication. Cross-multiplication is a method used to solve proportions (equations with fractions) by multiplying the numerator of one fraction by the denominator of the other fraction and setting the products equal to each other.<br /><br />Cross-multiplying the given proportion, we get:<br />$7 \times 17 = 3 \times v$<br /><br />Simplifying the equation, we have:<br />$119 = 3v$<br /><br />To isolate $v$, we divide both sides of the equation by 3:<br />$\frac{119}{3} = v$<br /><br />Evaluating the expression, we find:<br />$v \approx 39.7$<br /><br />Therefore, the value of $v$ rounded to the nearest tenth is 39.7.