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Finding the Fourth Proportional to 168.29, 252.44 and 145.61

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Solution

The fourth proportional to 168.29, 252.44 and 145.61 is: 218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.29 : 252.44 = 145.61 : x
  2. Step 2: Convert to fraction form
    168.29/252.44 = 145.61/x
  3. Step 3: Cross multiply
    168.29x = 252.44 × 145.61
  4. Step 4: Simplify right side
    168.29x = 36,755.80
  5. Step 5: Solve for x
    x = 36,755.80/168.29
  6. Step 6: Final answer
    x = 218.41

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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.