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Finding the Fourth Proportional to 166.12, 250.34 and 137.86

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Solution

The fourth proportional to 166.12, 250.34 and 137.86 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 250.34 = 137.86 : x
  2. Step 2: Convert to fraction form
    166.12/250.34 = 137.86/x
  3. Step 3: Cross multiply
    166.12x = 250.34 × 137.86
  4. Step 4: Simplify right side
    166.12x = 34,511.87
  5. Step 5: Solve for x
    x = 34,511.87/166.12
  6. Step 6: Final answer
    x = 207.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.