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Finding the Fourth Proportional to 362.52, 542.97 and 200.10

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Solution

The fourth proportional to 362.52, 542.97 and 200.10 is: 299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.52 : 542.97 = 200.10 : x
  2. Step 2: Convert to fraction form
    362.52/542.97 = 200.10/x
  3. Step 3: Cross multiply
    362.52x = 542.97 × 200.10
  4. Step 4: Simplify right side
    362.52x = 108,648.30
  5. Step 5: Solve for x
    x = 108,648.30/362.52
  6. Step 6: Final answer
    x = 299.70

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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.