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Finding the Fourth Proportional to 252.69, 377.30 and 226.49

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Solution

The fourth proportional to 252.69, 377.30 and 226.49 is: 338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.69 : 377.30 = 226.49 : x
  2. Step 2: Convert to fraction form
    252.69/377.30 = 226.49/x
  3. Step 3: Cross multiply
    252.69x = 377.30 × 226.49
  4. Step 4: Simplify right side
    252.69x = 85,454.68
  5. Step 5: Solve for x
    x = 85,454.68/252.69
  6. Step 6: Final answer
    x = 338.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.