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Finding the Fourth Proportional to 226.23, 311.90 and 179.76

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Solution

The fourth proportional to 226.23, 311.90 and 179.76 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.23 : 311.90 = 179.76 : x
  2. Step 2: Convert to fraction form
    226.23/311.90 = 179.76/x
  3. Step 3: Cross multiply
    226.23x = 311.90 × 179.76
  4. Step 4: Simplify right side
    226.23x = 56,065.08
  5. Step 5: Solve for x
    x = 56,065.08/226.23
  6. Step 6: Final answer
    x = 247.82

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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.