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Finding the Fourth Proportional to 167.20, 250.68 and 75.79

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Solution

The fourth proportional to 167.20, 250.68 and 75.79 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 250.68 = 75.79 : x
  2. Step 2: Convert to fraction form
    167.20/250.68 = 75.79/x
  3. Step 3: Cross multiply
    167.20x = 250.68 × 75.79
  4. Step 4: Simplify right side
    167.20x = 18,999.04
  5. Step 5: Solve for x
    x = 18,999.04/167.20
  6. Step 6: Final answer
    x = 113.63

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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.