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Finding the Fourth Proportional to 234.68, 323.78 and 164.61

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Solution

The fourth proportional to 234.68, 323.78 and 164.61 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.68 : 323.78 = 164.61 : x
  2. Step 2: Convert to fraction form
    234.68/323.78 = 164.61/x
  3. Step 3: Cross multiply
    234.68x = 323.78 × 164.61
  4. Step 4: Simplify right side
    234.68x = 53,296.60
  5. Step 5: Solve for x
    x = 53,296.60/234.68
  6. Step 6: Final answer
    x = 227.11

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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.