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Finding the Fourth Proportional to 775.55, 1,163.33 and 198.42

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Solution

The fourth proportional to 775.55, 1,163.33 and 198.42 is: 297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.55 : 1,163.33 = 198.42 : x
  2. Step 2: Convert to fraction form
    775.55/1,163.33 = 198.42/x
  3. Step 3: Cross multiply
    775.55x = 1,163.33 × 198.42
  4. Step 4: Simplify right side
    775.55x = 230,826.95
  5. Step 5: Solve for x
    x = 230,826.95/775.55
  6. Step 6: Final answer
    x = 297.63

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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.