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Finding the Fourth Proportional to 205.80, 284.00 and 196.57

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Solution

The fourth proportional to 205.80, 284.00 and 196.57 is: 271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 284.00 = 196.57 : x
  2. Step 2: Convert to fraction form
    205.80/284.00 = 196.57/x
  3. Step 3: Cross multiply
    205.80x = 284.00 × 196.57
  4. Step 4: Simplify right side
    205.80x = 55,824.95
  5. Step 5: Solve for x
    x = 55,824.95/205.80
  6. Step 6: Final answer
    x = 271.26

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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.