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Finding the Fourth Proportional to 442.34, 663.29 and 168.42

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Solution

The fourth proportional to 442.34, 663.29 and 168.42 is: 252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 663.29 = 168.42 : x
  2. Step 2: Convert to fraction form
    442.34/663.29 = 168.42/x
  3. Step 3: Cross multiply
    442.34x = 663.29 × 168.42
  4. Step 4: Simplify right side
    442.34x = 111,711.72
  5. Step 5: Solve for x
    x = 111,711.72/442.34
  6. Step 6: Final answer
    x = 252.55

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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.