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Finding the Fourth Proportional to 168.32, 252.24 and 165.68

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Solution

The fourth proportional to 168.32, 252.24 and 165.68 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.32 : 252.24 = 165.68 : x
  2. Step 2: Convert to fraction form
    168.32/252.24 = 165.68/x
  3. Step 3: Cross multiply
    168.32x = 252.24 × 165.68
  4. Step 4: Simplify right side
    168.32x = 41,791.12
  5. Step 5: Solve for x
    x = 41,791.12/168.32
  6. Step 6: Final answer
    x = 248.28

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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.