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Finding the Fourth Proportional to 167.45, 250.92 and 76.05

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Solution

The fourth proportional to 167.45, 250.92 and 76.05 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.45 : 250.92 = 76.05 : x
  2. Step 2: Convert to fraction form
    167.45/250.92 = 76.05/x
  3. Step 3: Cross multiply
    167.45x = 250.92 × 76.05
  4. Step 4: Simplify right side
    167.45x = 19,082.47
  5. Step 5: Solve for x
    x = 19,082.47/167.45
  6. Step 6: Final answer
    x = 113.96

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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.