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Finding the Fourth Proportional to 337.70, 506.34 and 200.78

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Solution

The fourth proportional to 337.70, 506.34 and 200.78 is: 301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.70 : 506.34 = 200.78 : x
  2. Step 2: Convert to fraction form
    337.70/506.34 = 200.78/x
  3. Step 3: Cross multiply
    337.70x = 506.34 × 200.78
  4. Step 4: Simplify right side
    337.70x = 101,662.95
  5. Step 5: Solve for x
    x = 101,662.95/337.70
  6. Step 6: Final answer
    x = 301.05

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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.