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Finding the Fourth Proportional to 166.89, 249.93 and 134.76

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Solution

The fourth proportional to 166.89, 249.93 and 134.76 is: 201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.89 : 249.93 = 134.76 : x
  2. Step 2: Convert to fraction form
    166.89/249.93 = 134.76/x
  3. Step 3: Cross multiply
    166.89x = 249.93 × 134.76
  4. Step 4: Simplify right side
    166.89x = 33,680.57
  5. Step 5: Solve for x
    x = 33,680.57/166.89
  6. Step 6: Final answer
    x = 201.81

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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.