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Finding the Fourth Proportional to 252.93, 379.07 and 137.42

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Solution

The fourth proportional to 252.93, 379.07 and 137.42 is: 205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.93 : 379.07 = 137.42 : x
  2. Step 2: Convert to fraction form
    252.93/379.07 = 137.42/x
  3. Step 3: Cross multiply
    252.93x = 379.07 × 137.42
  4. Step 4: Simplify right side
    252.93x = 52,091.80
  5. Step 5: Solve for x
    x = 52,091.80/252.93
  6. Step 6: Final answer
    x = 205.95

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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.