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Finding the Fourth Proportional to 234.62, 323.80 and 146.09

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Solution

The fourth proportional to 234.62, 323.80 and 146.09 is: 201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 323.80 = 146.09 : x
  2. Step 2: Convert to fraction form
    234.62/323.80 = 146.09/x
  3. Step 3: Cross multiply
    234.62x = 323.80 × 146.09
  4. Step 4: Simplify right side
    234.62x = 47,304.39
  5. Step 5: Solve for x
    x = 47,304.39/234.62
  6. Step 6: Final answer
    x = 201.63

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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.