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Finding the Fourth Proportional to 226.78, 340.17 and 181.69

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Solution

The fourth proportional to 226.78, 340.17 and 181.69 is: 272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.78 : 340.17 = 181.69 : x
  2. Step 2: Convert to fraction form
    226.78/340.17 = 181.69/x
  3. Step 3: Cross multiply
    226.78x = 340.17 × 181.69
  4. Step 4: Simplify right side
    226.78x = 61,805.49
  5. Step 5: Solve for x
    x = 61,805.49/226.78
  6. Step 6: Final answer
    x = 272.54

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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.