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Finding the Fourth Proportional to 166.89, 250.19 and 138.24

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Solution

The fourth proportional to 166.89, 250.19 and 138.24 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.89 : 250.19 = 138.24 : x
  2. Step 2: Convert to fraction form
    166.89/250.19 = 138.24/x
  3. Step 3: Cross multiply
    166.89x = 250.19 × 138.24
  4. Step 4: Simplify right side
    166.89x = 34,586.09
  5. Step 5: Solve for x
    x = 34,586.09/166.89
  6. Step 6: Final answer
    x = 207.23

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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.