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Finding the Fourth Proportional to 232.85, 347.72 and 219.35

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Solution

The fourth proportional to 232.85, 347.72 and 219.35 is: 327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.85 : 347.72 = 219.35 : x
  2. Step 2: Convert to fraction form
    232.85/347.72 = 219.35/x
  3. Step 3: Cross multiply
    232.85x = 347.72 × 219.35
  4. Step 4: Simplify right side
    232.85x = 76,272.38
  5. Step 5: Solve for x
    x = 76,272.38/232.85
  6. Step 6: Final answer
    x = 327.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.