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Finding the Fourth Proportional to 232.34, 350.33 and 205.61

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Solution

The fourth proportional to 232.34, 350.33 and 205.61 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 350.33 = 205.61 : x
  2. Step 2: Convert to fraction form
    232.34/350.33 = 205.61/x
  3. Step 3: Cross multiply
    232.34x = 350.33 × 205.61
  4. Step 4: Simplify right side
    232.34x = 72,028.57
  5. Step 5: Solve for x
    x = 72,028.57/232.34
  6. Step 6: Final answer
    x = 310.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.