Question

Use equivalent ratios to solve the proportion.

$\frac{x}{5}=\frac{200}{25}$

Short answer

The solution is $x=40$.

Step-by-step solution

Step 1.  Given

The given proportion is$\frac{x}{5}=\frac{200}{25}.$

Step 2.  To determine

We have to solve the proportion using equivalent ratios.

Step 3.  Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{x}{5}=\frac{200}{25}\\ \frac{x}{5\times 5}=\frac{200}{25}\left[\text{comparedenominators}\right]\\ \frac{x\times 5}{25}=\frac{200}{25}\left[\text{find}x\right]\\ 5x=200\\ 5x÷5=200÷5\left[\text{divideeachsideby5}\right]\\ x=40\end{array}$

So, the solution is $x=40$.