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Finding the Fourth Proportional to 226.04, 311.97 and 159.95

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Solution

The fourth proportional to 226.04, 311.97 and 159.95 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.04 : 311.97 = 159.95 : x
  2. Step 2: Convert to fraction form
    226.04/311.97 = 159.95/x
  3. Step 3: Cross multiply
    226.04x = 311.97 × 159.95
  4. Step 4: Simplify right side
    226.04x = 49,898.04
  5. Step 5: Solve for x
    x = 49,898.04/226.04
  6. Step 6: Final answer
    x = 220.75

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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.