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the ratio of men to women in a certain factory is 3 to 4. there are 198 men how many workers are there?

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There are 198 men and x women.
The ratio of men to women is 3:4.

[tex]\frac{198}{x}=\frac{3}{4} \\ 3x=4 \times 198 \\ x=4 \times 66 \\ x=264[/tex]

There are 198 men and 264 women.

[tex]198+264=462[/tex]

There are 462 workers.
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