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Finding the Fourth Proportional to 234.72, 323.96 and 164.79

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Solution

The fourth proportional to 234.72, 323.96 and 164.79 is: 227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 323.96 = 164.79 : x
  2. Step 2: Convert to fraction form
    234.72/323.96 = 164.79/x
  3. Step 3: Cross multiply
    234.72x = 323.96 × 164.79
  4. Step 4: Simplify right side
    234.72x = 53,384.54
  5. Step 5: Solve for x
    x = 53,384.54/234.72
  6. Step 6: Final answer
    x = 227.44

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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.