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Finding the Fourth Proportional to 166.53, 250.10 and 108.82

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Solution

The fourth proportional to 166.53, 250.10 and 108.82 is: 163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.53 : 250.10 = 108.82 : x
  2. Step 2: Convert to fraction form
    166.53/250.10 = 108.82/x
  3. Step 3: Cross multiply
    166.53x = 250.10 × 108.82
  4. Step 4: Simplify right side
    166.53x = 27,215.88
  5. Step 5: Solve for x
    x = 27,215.88/166.53
  6. Step 6: Final answer
    x = 163.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.