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Finding the Fourth Proportional to 234.18, 323.43 and 182.35

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Solution

The fourth proportional to 234.18, 323.43 and 182.35 is: 251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.18 : 323.43 = 182.35 : x
  2. Step 2: Convert to fraction form
    234.18/323.43 = 182.35/x
  3. Step 3: Cross multiply
    234.18x = 323.43 × 182.35
  4. Step 4: Simplify right side
    234.18x = 58,978.72
  5. Step 5: Solve for x
    x = 58,978.72/234.18
  6. Step 6: Final answer
    x = 251.85

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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.