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Finding the Fourth Proportional to 180.02, 270.06 and 77.30

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Solution

The fourth proportional to 180.02, 270.06 and 77.30 is: 115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 270.06 = 77.30 : x
  2. Step 2: Convert to fraction form
    180.02/270.06 = 77.30/x
  3. Step 3: Cross multiply
    180.02x = 270.06 × 77.30
  4. Step 4: Simplify right side
    180.02x = 20,874.29
  5. Step 5: Solve for x
    x = 20,874.29/180.02
  6. Step 6: Final answer
    x = 115.95

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