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Finding the Fourth Proportional to 396.20, 593.88 and 164.96

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Solution

The fourth proportional to 396.20, 593.88 and 164.96 is: 247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.20 : 593.88 = 164.96 : x
  2. Step 2: Convert to fraction form
    396.20/593.88 = 164.96/x
  3. Step 3: Cross multiply
    396.20x = 593.88 × 164.96
  4. Step 4: Simplify right side
    396.20x = 97,966.44
  5. Step 5: Solve for x
    x = 97,966.44/396.20
  6. Step 6: Final answer
    x = 247.27

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