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Finding the Fourth Proportional to 192.53, 288.95 and 131.78

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Solution

The fourth proportional to 192.53, 288.95 and 131.78 is: 197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.53 : 288.95 = 131.78 : x
  2. Step 2: Convert to fraction form
    192.53/288.95 = 131.78/x
  3. Step 3: Cross multiply
    192.53x = 288.95 × 131.78
  4. Step 4: Simplify right side
    192.53x = 38,077.89
  5. Step 5: Solve for x
    x = 38,077.89/192.53
  6. Step 6: Final answer
    x = 197.77

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