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Finding the Fourth Proportional to 363.96, 502.14 and 224.04

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Solution

The fourth proportional to 363.96, 502.14 and 224.04 is: 309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.96 : 502.14 = 224.04 : x
  2. Step 2: Convert to fraction form
    363.96/502.14 = 224.04/x
  3. Step 3: Cross multiply
    363.96x = 502.14 × 224.04
  4. Step 4: Simplify right side
    363.96x = 112,499.45
  5. Step 5: Solve for x
    x = 112,499.45/363.96
  6. Step 6: Final answer
    x = 309.10

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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.