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Finding the Fourth Proportional to 234.73, 323.92 and 131.23

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Solution

The fourth proportional to 234.73, 323.92 and 131.23 is: 181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.73 : 323.92 = 131.23 : x
  2. Step 2: Convert to fraction form
    234.73/323.92 = 131.23/x
  3. Step 3: Cross multiply
    234.73x = 323.92 × 131.23
  4. Step 4: Simplify right side
    234.73x = 42,507.32
  5. Step 5: Solve for x
    x = 42,507.32/234.73
  6. Step 6: Final answer
    x = 181.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.