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Finding the Fourth Proportional to 234.61, 323.21 and 164.54

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Solution

The fourth proportional to 234.61, 323.21 and 164.54 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.61 : 323.21 = 164.54 : x
  2. Step 2: Convert to fraction form
    234.61/323.21 = 164.54/x
  3. Step 3: Cross multiply
    234.61x = 323.21 × 164.54
  4. Step 4: Simplify right side
    234.61x = 53,180.97
  5. Step 5: Solve for x
    x = 53,180.97/234.61
  6. Step 6: Final answer
    x = 226.68

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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.