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Finding the Fourth Proportional to 209.75, 314.50 and 77.92

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Solution

The fourth proportional to 209.75, 314.50 and 77.92 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 314.50 = 77.92 : x
  2. Step 2: Convert to fraction form
    209.75/314.50 = 77.92/x
  3. Step 3: Cross multiply
    209.75x = 314.50 × 77.92
  4. Step 4: Simplify right side
    209.75x = 24,505.84
  5. Step 5: Solve for x
    x = 24,505.84/209.75
  6. Step 6: Final answer
    x = 116.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.