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Finding the Fourth Proportional to 167.85, 231.89 and 140.21

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Solution

The fourth proportional to 167.85, 231.89 and 140.21 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.85 : 231.89 = 140.21 : x
  2. Step 2: Convert to fraction form
    167.85/231.89 = 140.21/x
  3. Step 3: Cross multiply
    167.85x = 231.89 × 140.21
  4. Step 4: Simplify right side
    167.85x = 32,513.30
  5. Step 5: Solve for x
    x = 32,513.30/167.85
  6. Step 6: Final answer
    x = 193.70

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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.