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Finding the Fourth Proportional to 205.98, 284.42 and 140.78

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Solution

The fourth proportional to 205.98, 284.42 and 140.78 is: 194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 284.42 = 140.78 : x
  2. Step 2: Convert to fraction form
    205.98/284.42 = 140.78/x
  3. Step 3: Cross multiply
    205.98x = 284.42 × 140.78
  4. Step 4: Simplify right side
    205.98x = 40,040.65
  5. Step 5: Solve for x
    x = 40,040.65/205.98
  6. Step 6: Final answer
    x = 194.39

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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.