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Finding the Fourth Proportional to 363.98, 502.10 and 224.14

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Solution

The fourth proportional to 363.98, 502.10 and 224.14 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.98 : 502.10 = 224.14 : x
  2. Step 2: Convert to fraction form
    363.98/502.10 = 224.14/x
  3. Step 3: Cross multiply
    363.98x = 502.10 × 224.14
  4. Step 4: Simplify right side
    363.98x = 112,540.69
  5. Step 5: Solve for x
    x = 112,540.69/363.98
  6. Step 6: Final answer
    x = 309.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.