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Finding the Fourth Proportional to 226.28, 338.70 and 149.08

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Solution

The fourth proportional to 226.28, 338.70 and 149.08 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.28 : 338.70 = 149.08 : x
  2. Step 2: Convert to fraction form
    226.28/338.70 = 149.08/x
  3. Step 3: Cross multiply
    226.28x = 338.70 × 149.08
  4. Step 4: Simplify right side
    226.28x = 50,493.40
  5. Step 5: Solve for x
    x = 50,493.40/226.28
  6. Step 6: Final answer
    x = 223.15

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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.