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Finding the Fourth Proportional to 226.29, 338.75 and 149.10

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Solution

The fourth proportional to 226.29, 338.75 and 149.10 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.29 : 338.75 = 149.10 : x
  2. Step 2: Convert to fraction form
    226.29/338.75 = 149.10/x
  3. Step 3: Cross multiply
    226.29x = 338.75 × 149.10
  4. Step 4: Simplify right side
    226.29x = 50,506.88
  5. Step 5: Solve for x
    x = 50,506.88/226.29
  6. Step 6: Final answer
    x = 223.20

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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.