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Finding the Fourth Proportional to 421.71, 633.15 and 178.71

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Solution

The fourth proportional to 421.71, 633.15 and 178.71 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.71 : 633.15 = 178.71 : x
  2. Step 2: Convert to fraction form
    421.71/633.15 = 178.71/x
  3. Step 3: Cross multiply
    421.71x = 633.15 × 178.71
  4. Step 4: Simplify right side
    421.71x = 113,150.24
  5. Step 5: Solve for x
    x = 113,150.24/421.71
  6. Step 6: Final answer
    x = 268.31

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