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Finding the Fourth Proportional to 226.53, 337.10 and 220.05

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Solution

The fourth proportional to 226.53, 337.10 and 220.05 is: 327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 337.10 = 220.05 : x
  2. Step 2: Convert to fraction form
    226.53/337.10 = 220.05/x
  3. Step 3: Cross multiply
    226.53x = 337.10 × 220.05
  4. Step 4: Simplify right side
    226.53x = 74,177.75
  5. Step 5: Solve for x
    x = 74,177.75/226.53
  6. Step 6: Final answer
    x = 327.45

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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.