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Finding the Fourth Proportional to 192.29, 264.89 and 164.19

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Solution

The fourth proportional to 192.29, 264.89 and 164.19 is: 226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 264.89 = 164.19 : x
  2. Step 2: Convert to fraction form
    192.29/264.89 = 164.19/x
  3. Step 3: Cross multiply
    192.29x = 264.89 × 164.19
  4. Step 4: Simplify right side
    192.29x = 43,491.47
  5. Step 5: Solve for x
    x = 43,491.47/192.29
  6. Step 6: Final answer
    x = 226.18

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