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Finding the Fourth Proportional to 231.36, 347.05 and 77.29

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Solution

The fourth proportional to 231.36, 347.05 and 77.29 is: 115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.36 : 347.05 = 77.29 : x
  2. Step 2: Convert to fraction form
    231.36/347.05 = 77.29/x
  3. Step 3: Cross multiply
    231.36x = 347.05 × 77.29
  4. Step 4: Simplify right side
    231.36x = 26,822.72
  5. Step 5: Solve for x
    x = 26,822.72/231.36
  6. Step 6: Final answer
    x = 115.94

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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.