$$\frac{200}{2} = \frac{20}{x}$$
Answer
$$ x = \frac{1}{5} $$
Explanation
$$ \begin{aligned} \frac{200}{2} &= \frac{20}{x}&& \text{multiply ALL terms by } \color{blue}{ 2x }. \\[1 em]2x\cdot\frac{200}{2} &= 2x\cdot\frac{20}{x}&& \text{cancel out the denominators} \\[1 em]200x &= 40&& \text{ divide both sides by $ 200 $ } \\[1 em]x &= \frac{40}{200}&& \\[1 em]x &= \frac{1}{5}&& \\[1 em] \end{aligned} $$
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