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Finding the Fourth Proportional to 167.12, 251.85 and 138.86

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Solution

The fourth proportional to 167.12, 251.85 and 138.86 is: 209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.12 : 251.85 = 138.86 : x
  2. Step 2: Convert to fraction form
    167.12/251.85 = 138.86/x
  3. Step 3: Cross multiply
    167.12x = 251.85 × 138.86
  4. Step 4: Simplify right side
    167.12x = 34,971.89
  5. Step 5: Solve for x
    x = 34,971.89/167.12
  6. Step 6: Final answer
    x = 209.26

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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.