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Finding the Fourth Proportional to 167.75, 231.50 and 102.24

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Solution

The fourth proportional to 167.75, 231.50 and 102.24 is: 141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.75 : 231.50 = 102.24 : x
  2. Step 2: Convert to fraction form
    167.75/231.50 = 102.24/x
  3. Step 3: Cross multiply
    167.75x = 231.50 × 102.24
  4. Step 4: Simplify right side
    167.75x = 23,668.05
  5. Step 5: Solve for x
    x = 23,668.05/167.75
  6. Step 6: Final answer
    x = 141.09

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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.