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Finding the Fourth Proportional to 232.53, 346.82 and 196.21

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Solution

The fourth proportional to 232.53, 346.82 and 196.21 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.53 : 346.82 = 196.21 : x
  2. Step 2: Convert to fraction form
    232.53/346.82 = 196.21/x
  3. Step 3: Cross multiply
    232.53x = 346.82 × 196.21
  4. Step 4: Simplify right side
    232.53x = 68,049.55
  5. Step 5: Solve for x
    x = 68,049.55/232.53
  6. Step 6: Final answer
    x = 292.65

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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.