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Finding the Fourth Proportional to 232.33, 346.52 and 219.72

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Solution

The fourth proportional to 232.33, 346.52 and 219.72 is: 327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.33 : 346.52 = 219.72 : x
  2. Step 2: Convert to fraction form
    232.33/346.52 = 219.72/x
  3. Step 3: Cross multiply
    232.33x = 346.52 × 219.72
  4. Step 4: Simplify right side
    232.33x = 76,137.37
  5. Step 5: Solve for x
    x = 76,137.37/232.33
  6. Step 6: Final answer
    x = 327.71

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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.