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Finding the Fourth Proportional to 205.25, 283.11 and 196.70

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Solution

The fourth proportional to 205.25, 283.11 and 196.70 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 283.11 = 196.70 : x
  2. Step 2: Convert to fraction form
    205.25/283.11 = 196.70/x
  3. Step 3: Cross multiply
    205.25x = 283.11 × 196.70
  4. Step 4: Simplify right side
    205.25x = 55,687.74
  5. Step 5: Solve for x
    x = 55,687.74/205.25
  6. Step 6: Final answer
    x = 271.32

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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.