Let X be the coat's price. The shirt's price is X/5. The pants and the shirt cost $100, so the pants price is $100 - X/5.
The pants and coat costs ($100 - X/5) + X = $244.
Combining like terms and subtracting $100 from both sides, we get 4/5*X = $144.
Dividing both sides by 4/5, we get X = $180.
#### 180