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Finding the Fourth Proportional to 363.87, 502.13 and 206.54

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Solution

The fourth proportional to 363.87, 502.13 and 206.54 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.87 : 502.13 = 206.54 : x
  2. Step 2: Convert to fraction form
    363.87/502.13 = 206.54/x
  3. Step 3: Cross multiply
    363.87x = 502.13 × 206.54
  4. Step 4: Simplify right side
    363.87x = 103,709.93
  5. Step 5: Solve for x
    x = 103,709.93/363.87
  6. Step 6: Final answer
    x = 285.02

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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.