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Finding the Fourth Proportional to 166.67, 249.78 and 89.66

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Solution

The fourth proportional to 166.67, 249.78 and 89.66 is: 134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.67 : 249.78 = 89.66 : x
  2. Step 2: Convert to fraction form
    166.67/249.78 = 89.66/x
  3. Step 3: Cross multiply
    166.67x = 249.78 × 89.66
  4. Step 4: Simplify right side
    166.67x = 22,394.03
  5. Step 5: Solve for x
    x = 22,394.03/166.67
  6. Step 6: Final answer
    x = 134.37

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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.