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Finding the Fourth Proportional to 226.73, 338.27 and 193.85

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Solution

The fourth proportional to 226.73, 338.27 and 193.85 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.73 : 338.27 = 193.85 : x
  2. Step 2: Convert to fraction form
    226.73/338.27 = 193.85/x
  3. Step 3: Cross multiply
    226.73x = 338.27 × 193.85
  4. Step 4: Simplify right side
    226.73x = 65,570.98
  5. Step 5: Solve for x
    x = 65,570.98/226.73
  6. Step 6: Final answer
    x = 289.21

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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.