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Finding the Fourth Proportional to 363.96, 502.23 and 214.55

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Solution

The fourth proportional to 363.96, 502.23 and 214.55 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.96 : 502.23 = 214.55 : x
  2. Step 2: Convert to fraction form
    363.96/502.23 = 214.55/x
  3. Step 3: Cross multiply
    363.96x = 502.23 × 214.55
  4. Step 4: Simplify right side
    363.96x = 107,753.45
  5. Step 5: Solve for x
    x = 107,753.45/363.96
  6. Step 6: Final answer
    x = 296.06

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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.