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Finding the Fourth Proportional to 396.82, 595.31 and 165.59

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Solution

The fourth proportional to 396.82, 595.31 and 165.59 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.82 : 595.31 = 165.59 : x
  2. Step 2: Convert to fraction form
    396.82/595.31 = 165.59/x
  3. Step 3: Cross multiply
    396.82x = 595.31 × 165.59
  4. Step 4: Simplify right side
    396.82x = 98,577.38
  5. Step 5: Solve for x
    x = 98,577.38/396.82
  6. Step 6: Final answer
    x = 248.42

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