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Finding the Fourth Proportional to 226.41, 311.76 and 160.80

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Solution

The fourth proportional to 226.41, 311.76 and 160.80 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.41 : 311.76 = 160.80 : x
  2. Step 2: Convert to fraction form
    226.41/311.76 = 160.80/x
  3. Step 3: Cross multiply
    226.41x = 311.76 × 160.80
  4. Step 4: Simplify right side
    226.41x = 50,131.01
  5. Step 5: Solve for x
    x = 50,131.01/226.41
  6. Step 6: Final answer
    x = 221.42

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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.