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Finding the Fourth Proportional to 167.48, 231.14 and 142.84

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Solution

The fourth proportional to 167.48, 231.14 and 142.84 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.48 : 231.14 = 142.84 : x
  2. Step 2: Convert to fraction form
    167.48/231.14 = 142.84/x
  3. Step 3: Cross multiply
    167.48x = 231.14 × 142.84
  4. Step 4: Simplify right side
    167.48x = 33,016.04
  5. Step 5: Solve for x
    x = 33,016.04/167.48
  6. Step 6: Final answer
    x = 197.13

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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.