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Finding the Fourth Proportional to 231.37, 347.06 and 77.31

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Solution

The fourth proportional to 231.37, 347.06 and 77.31 is: 115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.37 : 347.06 = 77.31 : x
  2. Step 2: Convert to fraction form
    231.37/347.06 = 77.31/x
  3. Step 3: Cross multiply
    231.37x = 347.06 × 77.31
  4. Step 4: Simplify right side
    231.37x = 26,830.82
  5. Step 5: Solve for x
    x = 26,830.82/231.37
  6. Step 6: Final answer
    x = 115.97

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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.