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Finding the Fourth Proportional to 255.11, 351.96 and 205.97

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Solution

The fourth proportional to 255.11, 351.96 and 205.97 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.11 : 351.96 = 205.97 : x
  2. Step 2: Convert to fraction form
    255.11/351.96 = 205.97/x
  3. Step 3: Cross multiply
    255.11x = 351.96 × 205.97
  4. Step 4: Simplify right side
    255.11x = 72,493.20
  5. Step 5: Solve for x
    x = 72,493.20/255.11
  6. Step 6: Final answer
    x = 284.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.