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Finding the Fourth Proportional to 272.12, 408.70 and 180.88

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Solution

The fourth proportional to 272.12, 408.70 and 180.88 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.12 : 408.70 = 180.88 : x
  2. Step 2: Convert to fraction form
    272.12/408.70 = 180.88/x
  3. Step 3: Cross multiply
    272.12x = 408.70 × 180.88
  4. Step 4: Simplify right side
    272.12x = 73,926.14
  5. Step 5: Solve for x
    x = 73,926.14/272.12
  6. Step 6: Final answer
    x = 271.67

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