Finding the Fourth Proportional to 362.80, 542.88 and 200.64
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Solution
The fourth proportional to 362.80, 542.88 and 200.64 is: 300.23
Step by Step Solution
- Step 1: Write the proportion equation
362.80 : 542.88 = 200.64 : x - Step 2: Convert to fraction form
362.80/542.88 = 200.64/x - Step 3: Cross multiply
362.80x = 542.88 × 200.64 - Step 4: Simplify right side
362.80x = 108,923.44 - Step 5: Solve for x
x = 108,923.44/362.80 - Step 6: Final answer
x = 300.23
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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.