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Finding the Fourth Proportional to 166.67, 249.80 and 75.24

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Solution

The fourth proportional to 166.67, 249.80 and 75.24 is: 112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.67 : 249.80 = 75.24 : x
  2. Step 2: Convert to fraction form
    166.67/249.80 = 75.24/x
  3. Step 3: Cross multiply
    166.67x = 249.80 × 75.24
  4. Step 4: Simplify right side
    166.67x = 18,794.58
  5. Step 5: Solve for x
    x = 18,794.58/166.67
  6. Step 6: Final answer
    x = 112.77

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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.