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Finding the Fourth Proportional to 231.21, 346.82 and 77.14

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Solution

The fourth proportional to 231.21, 346.82 and 77.14 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.21 : 346.82 = 77.14 : x
  2. Step 2: Convert to fraction form
    231.21/346.82 = 77.14/x
  3. Step 3: Cross multiply
    231.21x = 346.82 × 77.14
  4. Step 4: Simplify right side
    231.21x = 26,753.69
  5. Step 5: Solve for x
    x = 26,753.69/231.21
  6. Step 6: Final answer
    x = 115.71

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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.