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Finding the Fourth Proportional to 226.38, 337.94 and 199.05

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Solution

The fourth proportional to 226.38, 337.94 and 199.05 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.38 : 337.94 = 199.05 : x
  2. Step 2: Convert to fraction form
    226.38/337.94 = 199.05/x
  3. Step 3: Cross multiply
    226.38x = 337.94 × 199.05
  4. Step 4: Simplify right side
    226.38x = 67,266.96
  5. Step 5: Solve for x
    x = 67,266.96/226.38
  6. Step 6: Final answer
    x = 297.14

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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.