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Finding the Fourth Proportional to 232.34, 347.71 and 219.02

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Solution

The fourth proportional to 232.34, 347.71 and 219.02 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 347.71 = 219.02 : x
  2. Step 2: Convert to fraction form
    232.34/347.71 = 219.02/x
  3. Step 3: Cross multiply
    232.34x = 347.71 × 219.02
  4. Step 4: Simplify right side
    232.34x = 76,155.44
  5. Step 5: Solve for x
    x = 76,155.44/232.34
  6. Step 6: Final answer
    x = 327.78

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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.