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Finding the Fourth Proportional to 232.88, 321.44 and 205.34

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Solution

The fourth proportional to 232.88, 321.44 and 205.34 is: 283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 321.44 = 205.34 : x
  2. Step 2: Convert to fraction form
    232.88/321.44 = 205.34/x
  3. Step 3: Cross multiply
    232.88x = 321.44 × 205.34
  4. Step 4: Simplify right side
    232.88x = 66,001.86
  5. Step 5: Solve for x
    x = 66,001.86/232.88
  6. Step 6: Final answer
    x = 283.42

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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.