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Finding the Fourth Proportional to 337.78, 506.67 and 121.42

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Solution

The fourth proportional to 337.78, 506.67 and 121.42 is: 182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 506.67 = 121.42 : x
  2. Step 2: Convert to fraction form
    337.78/506.67 = 121.42/x
  3. Step 3: Cross multiply
    337.78x = 506.67 × 121.42
  4. Step 4: Simplify right side
    337.78x = 61,519.87
  5. Step 5: Solve for x
    x = 61,519.87/337.78
  6. Step 6: Final answer
    x = 182.13

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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.