Many animals hibernate every winter. Among them, the snake hibernates for $180$ days. The bear\textquotesingle s hibernation time is $\dfrac{2}{3}$~of the snake\textquotesingle s, and the frog\textquotesingle s hibernation time is $\dfrac{5}{4}$~of the bear\textquotesingle s. How long does the frog hibernate for? 
Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base