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Finding the Fourth Proportional to 192.44, 288.64 and 48.16

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Solution

The fourth proportional to 192.44, 288.64 and 48.16 is: 72.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.44 : 288.64 = 48.16 : x
  2. Step 2: Convert to fraction form
    192.44/288.64 = 48.16/x
  3. Step 3: Cross multiply
    192.44x = 288.64 × 48.16
  4. Step 4: Simplify right side
    192.44x = 13,899.43
  5. Step 5: Solve for x
    x = 13,899.43/192.44
  6. Step 6: Final answer
    x = 72.23

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