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Finding the Fourth Proportional to 226.22, 337.24 and 222.71

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Solution

The fourth proportional to 226.22, 337.24 and 222.71 is: 332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.22 : 337.24 = 222.71 : x
  2. Step 2: Convert to fraction form
    226.22/337.24 = 222.71/x
  3. Step 3: Cross multiply
    226.22x = 337.24 × 222.71
  4. Step 4: Simplify right side
    226.22x = 75,106.72
  5. Step 5: Solve for x
    x = 75,106.72/226.22
  6. Step 6: Final answer
    x = 332.01

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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.