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Finding the Fourth Proportional to 206.76, 285.02 and 169.86

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Solution

The fourth proportional to 206.76, 285.02 and 169.86 is: 234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.76 : 285.02 = 169.86 : x
  2. Step 2: Convert to fraction form
    206.76/285.02 = 169.86/x
  3. Step 3: Cross multiply
    206.76x = 285.02 × 169.86
  4. Step 4: Simplify right side
    206.76x = 48,413.50
  5. Step 5: Solve for x
    x = 48,413.50/206.76
  6. Step 6: Final answer
    x = 234.15

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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.