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Finding the Fourth Proportional to 337.43, 506.66 and 200.75

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Solution

The fourth proportional to 337.43, 506.66 and 200.75 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.43 : 506.66 = 200.75 : x
  2. Step 2: Convert to fraction form
    337.43/506.66 = 200.75/x
  3. Step 3: Cross multiply
    337.43x = 506.66 × 200.75
  4. Step 4: Simplify right side
    337.43x = 101,708.46
  5. Step 5: Solve for x
    x = 101,708.46/337.43
  6. Step 6: Final answer
    x = 301.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.