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Finding the Fourth Proportional to 206.20, 284.34 and 140.73

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Solution

The fourth proportional to 206.20, 284.34 and 140.73 is: 194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.20 : 284.34 = 140.73 : x
  2. Step 2: Convert to fraction form
    206.20/284.34 = 140.73/x
  3. Step 3: Cross multiply
    206.20x = 284.34 × 140.73
  4. Step 4: Simplify right side
    206.20x = 40,015.17
  5. Step 5: Solve for x
    x = 40,015.17/206.20
  6. Step 6: Final answer
    x = 194.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.