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Finding the Fourth Proportional to 363.98, 502.22 and 214.61

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Solution

The fourth proportional to 363.98, 502.22 and 214.61 is: 296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.98 : 502.22 = 214.61 : x
  2. Step 2: Convert to fraction form
    363.98/502.22 = 214.61/x
  3. Step 3: Cross multiply
    363.98x = 502.22 × 214.61
  4. Step 4: Simplify right side
    363.98x = 107,782.15
  5. Step 5: Solve for x
    x = 107,782.15/363.98
  6. Step 6: Final answer
    x = 296.12

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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.