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Finding the Fourth Proportional to 226.23, 338.73 and 134.70

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Solution

The fourth proportional to 226.23, 338.73 and 134.70 is: 201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.23 : 338.73 = 134.70 : x
  2. Step 2: Convert to fraction form
    226.23/338.73 = 134.70/x
  3. Step 3: Cross multiply
    226.23x = 338.73 × 134.70
  4. Step 4: Simplify right side
    226.23x = 45,626.93
  5. Step 5: Solve for x
    x = 45,626.93/226.23
  6. Step 6: Final answer
    x = 201.68

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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.