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Finding the Fourth Proportional to 226.48, 337.97 and 202.18

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Solution

The fourth proportional to 226.48, 337.97 and 202.18 is: 301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.48 : 337.97 = 202.18 : x
  2. Step 2: Convert to fraction form
    226.48/337.97 = 202.18/x
  3. Step 3: Cross multiply
    226.48x = 337.97 × 202.18
  4. Step 4: Simplify right side
    226.48x = 68,330.77
  5. Step 5: Solve for x
    x = 68,330.77/226.48
  6. Step 6: Final answer
    x = 301.71

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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.