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Finding the Fourth Proportional to 275.22, 412.83 and 159.78

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Solution

The fourth proportional to 275.22, 412.83 and 159.78 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 412.83 = 159.78 : x
  2. Step 2: Convert to fraction form
    275.22/412.83 = 159.78/x
  3. Step 3: Cross multiply
    275.22x = 412.83 × 159.78
  4. Step 4: Simplify right side
    275.22x = 65,961.98
  5. Step 5: Solve for x
    x = 65,961.98/275.22
  6. Step 6: Final answer
    x = 239.67

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