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Finding the Fourth Proportional to 775.68, 1,163.46 and 198.50

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Solution

The fourth proportional to 775.68, 1,163.46 and 198.50 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.68 : 1,163.46 = 198.50 : x
  2. Step 2: Convert to fraction form
    775.68/1,163.46 = 198.50/x
  3. Step 3: Cross multiply
    775.68x = 1,163.46 × 198.50
  4. Step 4: Simplify right side
    775.68x = 230,946.81
  5. Step 5: Solve for x
    x = 230,946.81/775.68
  6. Step 6: Final answer
    x = 297.73

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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.