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Finding the Fourth Proportional to 363.95, 502.21 and 214.54

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Solution

The fourth proportional to 363.95, 502.21 and 214.54 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.95 : 502.21 = 214.54 : x
  2. Step 2: Convert to fraction form
    363.95/502.21 = 214.54/x
  3. Step 3: Cross multiply
    363.95x = 502.21 × 214.54
  4. Step 4: Simplify right side
    363.95x = 107,744.13
  5. Step 5: Solve for x
    x = 107,744.13/363.95
  6. Step 6: Final answer
    x = 296.04

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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.