Finding the Fourth Proportional to 282.96, 424.68 and 112.08
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Solution
The fourth proportional to 282.96, 424.68 and 112.08 is: 168.22
Step by Step Solution
- Step 1: Write the proportion equation
282.96 : 424.68 = 112.08 : x - Step 2: Convert to fraction form
282.96/424.68 = 112.08/x - Step 3: Cross multiply
282.96x = 424.68 × 112.08 - Step 4: Simplify right side
282.96x = 47,598.13 - Step 5: Solve for x
x = 47,598.13/282.96 - Step 6: Final answer
x = 168.22
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.