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Finding the Fourth Proportional to 226.16, 311.94 and 198.48

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Solution

The fourth proportional to 226.16, 311.94 and 198.48 is: 273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 311.94 = 198.48 : x
  2. Step 2: Convert to fraction form
    226.16/311.94 = 198.48/x
  3. Step 3: Cross multiply
    226.16x = 311.94 × 198.48
  4. Step 4: Simplify right side
    226.16x = 61,913.85
  5. Step 5: Solve for x
    x = 61,913.85/226.16
  6. Step 6: Final answer
    x = 273.76

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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.