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Finding the Fourth Proportional to 226.97, 340.25 and 118.65

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Solution

The fourth proportional to 226.97, 340.25 and 118.65 is: 177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.97 : 340.25 = 118.65 : x
  2. Step 2: Convert to fraction form
    226.97/340.25 = 118.65/x
  3. Step 3: Cross multiply
    226.97x = 340.25 × 118.65
  4. Step 4: Simplify right side
    226.97x = 40,370.07
  5. Step 5: Solve for x
    x = 40,370.07/226.97
  6. Step 6: Final answer
    x = 177.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.