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Finding the Fourth Proportional to 226.03, 337.39 and 206.80

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Solution

The fourth proportional to 226.03, 337.39 and 206.80 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.03 : 337.39 = 206.80 : x
  2. Step 2: Convert to fraction form
    226.03/337.39 = 206.80/x
  3. Step 3: Cross multiply
    226.03x = 337.39 × 206.80
  4. Step 4: Simplify right side
    226.03x = 69,772.25
  5. Step 5: Solve for x
    x = 69,772.25/226.03
  6. Step 6: Final answer
    x = 308.69

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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.