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Finding the Fourth Proportional to 167.47, 252.10 and 129.16

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Solution

The fourth proportional to 167.47, 252.10 and 129.16 is: 194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.47 : 252.10 = 129.16 : x
  2. Step 2: Convert to fraction form
    167.47/252.10 = 129.16/x
  3. Step 3: Cross multiply
    167.47x = 252.10 × 129.16
  4. Step 4: Simplify right side
    167.47x = 32,561.24
  5. Step 5: Solve for x
    x = 32,561.24/167.47
  6. Step 6: Final answer
    x = 194.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.