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Finding the Fourth Proportional to 226.62, 340.29 and 196.38

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Solution

The fourth proportional to 226.62, 340.29 and 196.38 is: 294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.62 : 340.29 = 196.38 : x
  2. Step 2: Convert to fraction form
    226.62/340.29 = 196.38/x
  3. Step 3: Cross multiply
    226.62x = 340.29 × 196.38
  4. Step 4: Simplify right side
    226.62x = 66,826.15
  5. Step 5: Solve for x
    x = 66,826.15/226.62
  6. Step 6: Final answer
    x = 294.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.