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Finding the Fourth Proportional to 226.20, 312.13 and 179.68

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Solution

The fourth proportional to 226.20, 312.13 and 179.68 is: 247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.20 : 312.13 = 179.68 : x
  2. Step 2: Convert to fraction form
    226.20/312.13 = 179.68/x
  3. Step 3: Cross multiply
    226.20x = 312.13 × 179.68
  4. Step 4: Simplify right side
    226.20x = 56,083.07
  5. Step 5: Solve for x
    x = 56,083.07/226.20
  6. Step 6: Final answer
    x = 247.94

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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.