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Finding the Fourth Proportional to 775, 1,162.57 and 197.88

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Solution

The fourth proportional to 775, 1,162.57 and 197.88 is: 296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    775 : 1,162.57 = 197.88 : x
  2. Step 2: Convert to fraction form
    775/1,162.57 = 197.88/x
  3. Step 3: Cross multiply
    775x = 1,162.57 × 197.88
  4. Step 4: Simplify right side
    775x = 230,049.35
  5. Step 5: Solve for x
    x = 230,049.35/775
  6. Step 6: Final answer
    x = 296.84

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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.