Jack and Diane bought a house for $$278,000.$ Prices for houses in their town fell by $18\%$ the next year. How much would prices have to rise the following year to get back to where they were when Jack and Diane bought? Assume that their house's value changed the same as the overall market.

Put the steps to solve this problem in order from first to last.

$1)$ Find the value of their house the year after they bought.

$2)$ Find what percent the needed increase would be as a percent of the lower price.

$3)$ Find the amount the price would need to increase to get back to where they bought.

$4)$ Find the amount the value of their house fell the year after they bought.