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Finding the Fourth Proportional to 226.16, 337.42 and 205.20

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Solution

The fourth proportional to 226.16, 337.42 and 205.20 is: 306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 337.42 = 205.20 : x
  2. Step 2: Convert to fraction form
    226.16/337.42 = 205.20/x
  3. Step 3: Cross multiply
    226.16x = 337.42 × 205.20
  4. Step 4: Simplify right side
    226.16x = 69,238.58
  5. Step 5: Solve for x
    x = 69,238.58/226.16
  6. Step 6: Final answer
    x = 306.15

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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.