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Finding the Fourth Proportional to 206.86, 285.26 and 140.52

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Solution

The fourth proportional to 206.86, 285.26 and 140.52 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.86 : 285.26 = 140.52 : x
  2. Step 2: Convert to fraction form
    206.86/285.26 = 140.52/x
  3. Step 3: Cross multiply
    206.86x = 285.26 × 140.52
  4. Step 4: Simplify right side
    206.86x = 40,084.74
  5. Step 5: Solve for x
    x = 40,084.74/206.86
  6. Step 6: Final answer
    x = 193.78

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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.