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Finding the Fourth Proportional to 166.75, 250.13 and 102.76

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Solution

The fourth proportional to 166.75, 250.13 and 102.76 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 250.13 = 102.76 : x
  2. Step 2: Convert to fraction form
    166.75/250.13 = 102.76/x
  3. Step 3: Cross multiply
    166.75x = 250.13 × 102.76
  4. Step 4: Simplify right side
    166.75x = 25,702.85
  5. Step 5: Solve for x
    x = 25,702.85/166.75
  6. Step 6: Final answer
    x = 154.14

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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.