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Finding the Fourth Proportional to 226.73, 312.71 and 174.20

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Solution

The fourth proportional to 226.73, 312.71 and 174.20 is: 240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.73 : 312.71 = 174.20 : x
  2. Step 2: Convert to fraction form
    226.73/312.71 = 174.20/x
  3. Step 3: Cross multiply
    226.73x = 312.71 × 174.20
  4. Step 4: Simplify right side
    226.73x = 54,471.65
  5. Step 5: Solve for x
    x = 54,471.65/226.73
  6. Step 6: Final answer
    x = 240.25

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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.