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Finding the Fourth Proportional to 442.29, 663.37 and 168.32

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Solution

The fourth proportional to 442.29, 663.37 and 168.32 is: 252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.29 : 663.37 = 168.32 : x
  2. Step 2: Convert to fraction form
    442.29/663.37 = 168.32/x
  3. Step 3: Cross multiply
    442.29x = 663.37 × 168.32
  4. Step 4: Simplify right side
    442.29x = 111,658.44
  5. Step 5: Solve for x
    x = 111,658.44/442.29
  6. Step 6: Final answer
    x = 252.46

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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.