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Finding the Fourth Proportional to 226.10, 311.91 and 138.76

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Solution

The fourth proportional to 226.10, 311.91 and 138.76 is: 191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 311.91 = 138.76 : x
  2. Step 2: Convert to fraction form
    226.10/311.91 = 138.76/x
  3. Step 3: Cross multiply
    226.10x = 311.91 × 138.76
  4. Step 4: Simplify right side
    226.10x = 43,280.63
  5. Step 5: Solve for x
    x = 43,280.63/226.10
  6. Step 6: Final answer
    x = 191.42

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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.