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Finding the Fourth Proportional to 206.15, 284.13 and 140.54

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Solution

The fourth proportional to 206.15, 284.13 and 140.54 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 284.13 = 140.54 : x
  2. Step 2: Convert to fraction form
    206.15/284.13 = 140.54/x
  3. Step 3: Cross multiply
    206.15x = 284.13 × 140.54
  4. Step 4: Simplify right side
    206.15x = 39,930.21
  5. Step 5: Solve for x
    x = 39,930.21/206.15
  6. Step 6: Final answer
    x = 193.70

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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.