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Finding the Fourth Proportional to 226.74, 339.22 and 197.65

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Solution

The fourth proportional to 226.74, 339.22 and 197.65 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.74 : 339.22 = 197.65 : x
  2. Step 2: Convert to fraction form
    226.74/339.22 = 197.65/x
  3. Step 3: Cross multiply
    226.74x = 339.22 × 197.65
  4. Step 4: Simplify right side
    226.74x = 67,046.83
  5. Step 5: Solve for x
    x = 67,046.83/226.74
  6. Step 6: Final answer
    x = 295.70

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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.