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Finding the Fourth Proportional to 231.20, 346.78 and 77.13

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Solution

The fourth proportional to 231.20, 346.78 and 77.13 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.20 : 346.78 = 77.13 : x
  2. Step 2: Convert to fraction form
    231.20/346.78 = 77.13/x
  3. Step 3: Cross multiply
    231.20x = 346.78 × 77.13
  4. Step 4: Simplify right side
    231.20x = 26,747.24
  5. Step 5: Solve for x
    x = 26,747.24/231.20
  6. Step 6: Final answer
    x = 115.69

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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.