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Finding the Fourth Proportional to 363.90, 502.14 and 216.57

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Solution

The fourth proportional to 363.90, 502.14 and 216.57 is: 298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.90 : 502.14 = 216.57 : x
  2. Step 2: Convert to fraction form
    363.90/502.14 = 216.57/x
  3. Step 3: Cross multiply
    363.90x = 502.14 × 216.57
  4. Step 4: Simplify right side
    363.90x = 108,745.95
  5. Step 5: Solve for x
    x = 108,745.95/363.90
  6. Step 6: Final answer
    x = 298.84

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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.