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Finding the Fourth Proportional to 226.43, 311.95 and 160.73

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Solution

The fourth proportional to 226.43, 311.95 and 160.73 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.43 : 311.95 = 160.73 : x
  2. Step 2: Convert to fraction form
    226.43/311.95 = 160.73/x
  3. Step 3: Cross multiply
    226.43x = 311.95 × 160.73
  4. Step 4: Simplify right side
    226.43x = 50,139.72
  5. Step 5: Solve for x
    x = 50,139.72/226.43
  6. Step 6: Final answer
    x = 221.44

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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.