Answer:
[tex]\large\boxed{x=\dfrac{2}{5}=0.4}[/tex]
Step-by-step explanation:
[tex]x:6=10:150\\\\\dfrac{x}{6}=\dfrac{10}{150}\qquad\text{cross multiply}\\\\150x=(6)(10)\\\\150x=60\qquad\text{divide both sides by 150}\\\\\dfrac{150x}{150}=\dfrac{60}{150}\\\\x=\dfrac{60\!\!\!\!\diagup}{150\!\!\!\!\diagup}\\\\x=\dfrac{6:3}{15:3}\\\\x=\dfrac{2}{5}=0.4[/tex]
