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Finding the Fourth Proportional to 231.97, 347.92 and 102

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Solution

The fourth proportional to 231.97, 347.92 and 102 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.97 : 347.92 = 102 : x
  2. Step 2: Convert to fraction form
    231.97/347.92 = 102/x
  3. Step 3: Cross multiply
    231.97x = 347.92 × 102
  4. Step 4: Simplify right side
    231.97x = 35,487.84
  5. Step 5: Solve for x
    x = 35,487.84/231.97
  6. Step 6: Final answer
    x = 152.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.