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Finding the Fourth Proportional to 354.78, 531.49 and 200.24

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Solution

The fourth proportional to 354.78, 531.49 and 200.24 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 531.49 = 200.24 : x
  2. Step 2: Convert to fraction form
    354.78/531.49 = 200.24/x
  3. Step 3: Cross multiply
    354.78x = 531.49 × 200.24
  4. Step 4: Simplify right side
    354.78x = 106,425.56
  5. Step 5: Solve for x
    x = 106,425.56/354.78
  6. Step 6: Final answer
    x = 299.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.