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Finding the Fourth Proportional to 234.20, 343.76 and 234.20

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Solution

The fourth proportional to 234.20, 343.76 and 234.20 is: 343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.20 : 343.76 = 234.20 : x
  2. Step 2: Convert to fraction form
    234.20/343.76 = 234.20/x
  3. Step 3: Cross multiply
    234.20x = 343.76 × 234.20
  4. Step 4: Simplify right side
    234.20x = 80,508.59
  5. Step 5: Solve for x
    x = 80,508.59/234.20
  6. Step 6: Final answer
    x = 343.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.