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Finding the Fourth Proportional to 166.56, 250.11 and 102.84

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Solution

The fourth proportional to 166.56, 250.11 and 102.84 is: 154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 250.11 = 102.84 : x
  2. Step 2: Convert to fraction form
    166.56/250.11 = 102.84/x
  3. Step 3: Cross multiply
    166.56x = 250.11 × 102.84
  4. Step 4: Simplify right side
    166.56x = 25,720.06
  5. Step 5: Solve for x
    x = 25,720.06/166.56
  6. Step 6: Final answer
    x = 154.42

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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.