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Finding the Fourth Proportional to 232.41, 346.77 and 226.92

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Solution

The fourth proportional to 232.41, 346.77 and 226.92 is: 338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.41 : 346.77 = 226.92 : x
  2. Step 2: Convert to fraction form
    232.41/346.77 = 226.92/x
  3. Step 3: Cross multiply
    232.41x = 346.77 × 226.92
  4. Step 4: Simplify right side
    232.41x = 78,689.05
  5. Step 5: Solve for x
    x = 78,689.05/232.41
  6. Step 6: Final answer
    x = 338.58

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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.