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Finding the Fourth Proportional to 422.54, 633.81 and 148.64

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Solution

The fourth proportional to 422.54, 633.81 and 148.64 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.54 : 633.81 = 148.64 : x
  2. Step 2: Convert to fraction form
    422.54/633.81 = 148.64/x
  3. Step 3: Cross multiply
    422.54x = 633.81 × 148.64
  4. Step 4: Simplify right side
    422.54x = 94,206.35
  5. Step 5: Solve for x
    x = 94,206.35/422.54
  6. Step 6: Final answer
    x = 222.96

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