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Finding the Fourth Proportional to 274.76, 411.96 and 178.64

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Solution

The fourth proportional to 274.76, 411.96 and 178.64 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.76 : 411.96 = 178.64 : x
  2. Step 2: Convert to fraction form
    274.76/411.96 = 178.64/x
  3. Step 3: Cross multiply
    274.76x = 411.96 × 178.64
  4. Step 4: Simplify right side
    274.76x = 73,592.53
  5. Step 5: Solve for x
    x = 73,592.53/274.76
  6. Step 6: Final answer
    x = 267.84

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