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Finding the Fourth Proportional to 226.05, 311.79 and 159.66

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Solution

The fourth proportional to 226.05, 311.79 and 159.66 is: 220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.05 : 311.79 = 159.66 : x
  2. Step 2: Convert to fraction form
    226.05/311.79 = 159.66/x
  3. Step 3: Cross multiply
    226.05x = 311.79 × 159.66
  4. Step 4: Simplify right side
    226.05x = 49,780.39
  5. Step 5: Solve for x
    x = 49,780.39/226.05
  6. Step 6: Final answer
    x = 220.22

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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.