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Finding the Fourth Proportional to 264.23, 396.20 and 81.60

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Solution

The fourth proportional to 264.23, 396.20 and 81.60 is: 122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.23 : 396.20 = 81.60 : x
  2. Step 2: Convert to fraction form
    264.23/396.20 = 81.60/x
  3. Step 3: Cross multiply
    264.23x = 396.20 × 81.60
  4. Step 4: Simplify right side
    264.23x = 32,328.64
  5. Step 5: Solve for x
    x = 32,328.64/264.23
  6. Step 6: Final answer
    x = 122.35

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