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Finding the Fourth Proportional to 363.86, 502.16 and 206.50

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Solution

The fourth proportional to 363.86, 502.16 and 206.50 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.86 : 502.16 = 206.50 : x
  2. Step 2: Convert to fraction form
    363.86/502.16 = 206.50/x
  3. Step 3: Cross multiply
    363.86x = 502.16 × 206.50
  4. Step 4: Simplify right side
    363.86x = 103,694.78
  5. Step 5: Solve for x
    x = 103,694.78/363.86
  6. Step 6: Final answer
    x = 284.99

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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.