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Finding the Fourth Proportional to 231.31, 347.02 and 77.25

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Solution

The fourth proportional to 231.31, 347.02 and 77.25 is: 115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.31 : 347.02 = 77.25 : x
  2. Step 2: Convert to fraction form
    231.31/347.02 = 77.25/x
  3. Step 3: Cross multiply
    231.31x = 347.02 × 77.25
  4. Step 4: Simplify right side
    231.31x = 26,808.40
  5. Step 5: Solve for x
    x = 26,808.40/231.31
  6. Step 6: Final answer
    x = 115.90

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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.