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Finding the Fourth Proportional to 181.28, 271.72 and 89.78

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Solution

The fourth proportional to 181.28, 271.72 and 89.78 is: 134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.28 : 271.72 = 89.78 : x
  2. Step 2: Convert to fraction form
    181.28/271.72 = 89.78/x
  3. Step 3: Cross multiply
    181.28x = 271.72 × 89.78
  4. Step 4: Simplify right side
    181.28x = 24,395.48
  5. Step 5: Solve for x
    x = 24,395.48/181.28
  6. Step 6: Final answer
    x = 134.57

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