解:由$\bigcirc+\bigcirc=☆+☆+☆+☆,$
得$\bigcirc=☆+☆;$
代入$\bigcirc+\triangle+☆+☆=200,$
得$☆+☆+\triangle+☆+☆=200,$
即$\triangle+\triangle+\triangle+\triangle=200$
$\begin{aligned}4\triangle&=200\\\triangle&=50\end{aligned}$
由$\bigcirc+\bigcirc=\triangle+\triangle+\triangle$:
$\begin{aligned}2\bigcirc&=50×3\\2\bigcirc&=150\\\bigcirc&=75\end{aligned}$
$\begin{aligned}2×75&=4☆\\☆&=150\div4\\☆&=37.5\end{aligned}$
答:$\bigcirc=75,$$\triangle=50,$$☆=37.5。$