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Finding the Fourth Proportional to 167.68, 251.33 and 86.43

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Solution

The fourth proportional to 167.68, 251.33 and 86.43 is: 129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.68 : 251.33 = 86.43 : x
  2. Step 2: Convert to fraction form
    167.68/251.33 = 86.43/x
  3. Step 3: Cross multiply
    167.68x = 251.33 × 86.43
  4. Step 4: Simplify right side
    167.68x = 21,722.45
  5. Step 5: Solve for x
    x = 21,722.45/167.68
  6. Step 6: Final answer
    x = 129.55

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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.