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Finding the Fourth Proportional to 421.38, 632.05 and 164.70

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Solution

The fourth proportional to 421.38, 632.05 and 164.70 is: 247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.38 : 632.05 = 164.70 : x
  2. Step 2: Convert to fraction form
    421.38/632.05 = 164.70/x
  3. Step 3: Cross multiply
    421.38x = 632.05 × 164.70
  4. Step 4: Simplify right side
    421.38x = 104,098.64
  5. Step 5: Solve for x
    x = 104,098.64/421.38
  6. Step 6: Final answer
    x = 247.04

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