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Finding the Fourth Proportional to 272.14, 408 and 109.76

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Solution

The fourth proportional to 272.14, 408 and 109.76 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.14 : 408 = 109.76 : x
  2. Step 2: Convert to fraction form
    272.14/408 = 109.76/x
  3. Step 3: Cross multiply
    272.14x = 408 × 109.76
  4. Step 4: Simplify right side
    272.14x = 44,782.08
  5. Step 5: Solve for x
    x = 44,782.08/272.14
  6. Step 6: Final answer
    x = 164.56

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