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Finding the Fourth Proportional to 167.43, 231.13 and 140.83

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Solution

The fourth proportional to 167.43, 231.13 and 140.83 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.43 : 231.13 = 140.83 : x
  2. Step 2: Convert to fraction form
    167.43/231.13 = 140.83/x
  3. Step 3: Cross multiply
    167.43x = 231.13 × 140.83
  4. Step 4: Simplify right side
    167.43x = 32,550.04
  5. Step 5: Solve for x
    x = 32,550.04/167.43
  6. Step 6: Final answer
    x = 194.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.