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Finding the Fourth Proportional to 252.23, 347.96 and 164.75

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Solution

The fourth proportional to 252.23, 347.96 and 164.75 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.23 : 347.96 = 164.75 : x
  2. Step 2: Convert to fraction form
    252.23/347.96 = 164.75/x
  3. Step 3: Cross multiply
    252.23x = 347.96 × 164.75
  4. Step 4: Simplify right side
    252.23x = 57,325.08
  5. Step 5: Solve for x
    x = 57,325.08/252.23
  6. Step 6: Final answer
    x = 227.28

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