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Finding the Fourth Proportional to 397.53, 596.16 and 178.29

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Solution

The fourth proportional to 397.53, 596.16 and 178.29 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 596.16 = 178.29 : x
  2. Step 2: Convert to fraction form
    397.53/596.16 = 178.29/x
  3. Step 3: Cross multiply
    397.53x = 596.16 × 178.29
  4. Step 4: Simplify right side
    397.53x = 106,289.37
  5. Step 5: Solve for x
    x = 106,289.37/397.53
  6. Step 6: Final answer
    x = 267.37

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