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Finding the Fourth Proportional to 422, 633.08 and 178.54

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Solution

The fourth proportional to 422, 633.08 and 178.54 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 633.08 = 178.54 : x
  2. Step 2: Convert to fraction form
    422/633.08 = 178.54/x
  3. Step 3: Cross multiply
    422x = 633.08 × 178.54
  4. Step 4: Simplify right side
    422x = 113,030.10
  5. Step 5: Solve for x
    x = 113,030.10/422
  6. Step 6: Final answer
    x = 267.84

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