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Finding the Fourth Proportional to 232.76, 346.49 and 229.30

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Solution

The fourth proportional to 232.76, 346.49 and 229.30 is: 341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.76 : 346.49 = 229.30 : x
  2. Step 2: Convert to fraction form
    232.76/346.49 = 229.30/x
  3. Step 3: Cross multiply
    232.76x = 346.49 × 229.30
  4. Step 4: Simplify right side
    232.76x = 79,449.88
  5. Step 5: Solve for x
    x = 79,449.88/232.76
  6. Step 6: Final answer
    x = 341.33

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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.