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Finding the Fourth Proportional to 167.34, 250.97 and 75.99

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Solution

The fourth proportional to 167.34, 250.97 and 75.99 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 250.97 = 75.99 : x
  2. Step 2: Convert to fraction form
    167.34/250.97 = 75.99/x
  3. Step 3: Cross multiply
    167.34x = 250.97 × 75.99
  4. Step 4: Simplify right side
    167.34x = 19,070.83
  5. Step 5: Solve for x
    x = 19,070.83/167.34
  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.