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Finding the Fourth Proportional to 182.78, 274.25 and 105.81

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Solution

The fourth proportional to 182.78, 274.25 and 105.81 is: 158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.78 : 274.25 = 105.81 : x
  2. Step 2: Convert to fraction form
    182.78/274.25 = 105.81/x
  3. Step 3: Cross multiply
    182.78x = 274.25 × 105.81
  4. Step 4: Simplify right side
    182.78x = 29,017.86
  5. Step 5: Solve for x
    x = 29,017.86/182.78
  6. Step 6: Final answer
    x = 158.76

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