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Finding the Fourth Proportional to 442, 663.03 and 133.85

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Solution

The fourth proportional to 442, 663.03 and 133.85 is: 200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 663.03 = 133.85 : x
  2. Step 2: Convert to fraction form
    442/663.03 = 133.85/x
  3. Step 3: Cross multiply
    442x = 663.03 × 133.85
  4. Step 4: Simplify right side
    442x = 88,746.57
  5. Step 5: Solve for x
    x = 88,746.57/442
  6. Step 6: Final answer
    x = 200.78

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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.