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Finding the Fourth Proportional to 206.78, 284.85 and 194.02

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Solution

The fourth proportional to 206.78, 284.85 and 194.02 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 284.85 = 194.02 : x
  2. Step 2: Convert to fraction form
    206.78/284.85 = 194.02/x
  3. Step 3: Cross multiply
    206.78x = 284.85 × 194.02
  4. Step 4: Simplify right side
    206.78x = 55,265.88
  5. Step 5: Solve for x
    x = 55,265.88/206.78
  6. Step 6: Final answer
    x = 267.28

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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.