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Finding the Fourth Proportional to 234.81, 323.91 and 165.06

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Solution

The fourth proportional to 234.81, 323.91 and 165.06 is: 227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.81 : 323.91 = 165.06 : x
  2. Step 2: Convert to fraction form
    234.81/323.91 = 165.06/x
  3. Step 3: Cross multiply
    234.81x = 323.91 × 165.06
  4. Step 4: Simplify right side
    234.81x = 53,464.58
  5. Step 5: Solve for x
    x = 53,464.58/234.81
  6. Step 6: Final answer
    x = 227.69

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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.