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Finding the Fourth Proportional to 363.78, 502.08 and 223.92

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Solution

The fourth proportional to 363.78, 502.08 and 223.92 is: 309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 502.08 = 223.92 : x
  2. Step 2: Convert to fraction form
    363.78/502.08 = 223.92/x
  3. Step 3: Cross multiply
    363.78x = 502.08 × 223.92
  4. Step 4: Simplify right side
    363.78x = 112,425.75
  5. Step 5: Solve for x
    x = 112,425.75/363.78
  6. Step 6: Final answer
    x = 309.05

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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.