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Finding the Fourth Proportional to 421.78, 632.47 and 178.26

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Solution

The fourth proportional to 421.78, 632.47 and 178.26 is: 267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.78 : 632.47 = 178.26 : x
  2. Step 2: Convert to fraction form
    421.78/632.47 = 178.26/x
  3. Step 3: Cross multiply
    421.78x = 632.47 × 178.26
  4. Step 4: Simplify right side
    421.78x = 112,744.10
  5. Step 5: Solve for x
    x = 112,744.10/421.78
  6. Step 6: Final answer
    x = 267.31

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