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Finding the Fourth Proportional to 442.62, 663.97 and 134.42

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Solution

The fourth proportional to 442.62, 663.97 and 134.42 is: 201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.62 : 663.97 = 134.42 : x
  2. Step 2: Convert to fraction form
    442.62/663.97 = 134.42/x
  3. Step 3: Cross multiply
    442.62x = 663.97 × 134.42
  4. Step 4: Simplify right side
    442.62x = 89,250.85
  5. Step 5: Solve for x
    x = 89,250.85/442.62
  6. Step 6: Final answer
    x = 201.64

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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.