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Finding the Fourth Proportional to 442.28, 663.32 and 168.27

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Solution

The fourth proportional to 442.28, 663.32 and 168.27 is: 252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.28 : 663.32 = 168.27 : x
  2. Step 2: Convert to fraction form
    442.28/663.32 = 168.27/x
  3. Step 3: Cross multiply
    442.28x = 663.32 × 168.27
  4. Step 4: Simplify right side
    442.28x = 111,616.86
  5. Step 5: Solve for x
    x = 111,616.86/442.28
  6. Step 6: Final answer
    x = 252.37

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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.