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Finding the Fourth Proportional to 166.96, 249.41 and 141.16

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Solution

The fourth proportional to 166.96, 249.41 and 141.16 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 249.41 = 141.16 : x
  2. Step 2: Convert to fraction form
    166.96/249.41 = 141.16/x
  3. Step 3: Cross multiply
    166.96x = 249.41 × 141.16
  4. Step 4: Simplify right side
    166.96x = 35,206.72
  5. Step 5: Solve for x
    x = 35,206.72/166.96
  6. Step 6: Final answer
    x = 210.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.