Answer:
The value of X is [tex]X=\frac{3}{2}[/tex]
Step-by-step explanation:
Given : [tex]\frac{1}{150} : 2=\frac{1}{200} : X[/tex]
To find : The value of X ?
Solution :
[tex]\frac{1}{150} : 2=\frac{1}{200} : X[/tex]
Converting ratios into fraction,
[tex]\frac{\frac{1}{150}}{2}=\frac{\frac{1}{200}}{X}[/tex]
[tex]\frac{1}{150\times 2}=\frac{1}{200\times X}[/tex]
Cross multiply,
[tex]200X=300[/tex]
[tex]X=\frac{300}{200}[/tex]
[tex]X=\frac{3}{2}[/tex]
Therefore, The value of X is [tex]X=\frac{3}{2}[/tex]
