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Finding the Fourth Proportional to 232.98, 321.12 and 205.31

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Solution

The fourth proportional to 232.98, 321.12 and 205.31 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 321.12 = 205.31 : x
  2. Step 2: Convert to fraction form
    232.98/321.12 = 205.31/x
  3. Step 3: Cross multiply
    232.98x = 321.12 × 205.31
  4. Step 4: Simplify right side
    232.98x = 65,927.54
  5. Step 5: Solve for x
    x = 65,927.54/232.98
  6. Step 6: Final answer
    x = 282.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.