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Finding the Fourth Proportional to 232.44, 316.56 and 231.24

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Solution

The fourth proportional to 232.44, 316.56 and 231.24 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 316.56 = 231.24 : x
  2. Step 2: Convert to fraction form
    232.44/316.56 = 231.24/x
  3. Step 3: Cross multiply
    232.44x = 316.56 × 231.24
  4. Step 4: Simplify right side
    232.44x = 73,201.33
  5. Step 5: Solve for x
    x = 73,201.33/232.44
  6. Step 6: Final answer
    x = 314.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.