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Finding the Fourth Proportional to 234.11, 323.03 and 135.85

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Solution

The fourth proportional to 234.11, 323.03 and 135.85 is: 187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.11 : 323.03 = 135.85 : x
  2. Step 2: Convert to fraction form
    234.11/323.03 = 135.85/x
  3. Step 3: Cross multiply
    234.11x = 323.03 × 135.85
  4. Step 4: Simplify right side
    234.11x = 43,881.33
  5. Step 5: Solve for x
    x = 43,881.33/234.11
  6. Step 6: Final answer
    x = 187.44

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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.