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Finding the Fourth Proportional to 205.79, 284.55 and 196.10

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Solution

The fourth proportional to 205.79, 284.55 and 196.10 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.79 : 284.55 = 196.10 : x
  2. Step 2: Convert to fraction form
    205.79/284.55 = 196.10/x
  3. Step 3: Cross multiply
    205.79x = 284.55 × 196.10
  4. Step 4: Simplify right side
    205.79x = 55,800.97
  5. Step 5: Solve for x
    x = 55,800.97/205.79
  6. Step 6: Final answer
    x = 271.16

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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.