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Finding the Fourth Proportional to 166.42, 249.68 and 105.46

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Solution

The fourth proportional to 166.42, 249.68 and 105.46 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.42 : 249.68 = 105.46 : x
  2. Step 2: Convert to fraction form
    166.42/249.68 = 105.46/x
  3. Step 3: Cross multiply
    166.42x = 249.68 × 105.46
  4. Step 4: Simplify right side
    166.42x = 26,331.25
  5. Step 5: Solve for x
    x = 26,331.25/166.42
  6. Step 6: Final answer
    x = 158.22

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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.