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Finding the Fourth Proportional to 442.04, 663.17 and 133.89

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Solution

The fourth proportional to 442.04, 663.17 and 133.89 is: 200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 663.17 = 133.89 : x
  2. Step 2: Convert to fraction form
    442.04/663.17 = 133.89/x
  3. Step 3: Cross multiply
    442.04x = 663.17 × 133.89
  4. Step 4: Simplify right side
    442.04x = 88,791.83
  5. Step 5: Solve for x
    x = 88,791.83/442.04
  6. Step 6: Final answer
    x = 200.87

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Why These Related Problems?

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