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Finding the Fourth Proportional to 180.08, 270.24 and 158.72

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Solution

The fourth proportional to 180.08, 270.24 and 158.72 is: 238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 270.24 = 158.72 : x
  2. Step 2: Convert to fraction form
    180.08/270.24 = 158.72/x
  3. Step 3: Cross multiply
    180.08x = 270.24 × 158.72
  4. Step 4: Simplify right side
    180.08x = 42,892.49
  5. Step 5: Solve for x
    x = 42,892.49/180.08
  6. Step 6: Final answer
    x = 238.19

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