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Finding the Fourth Proportional to 270.16, 405.34 and 107.75

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Solution

The fourth proportional to 270.16, 405.34 and 107.75 is: 161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.16 : 405.34 = 107.75 : x
  2. Step 2: Convert to fraction form
    270.16/405.34 = 107.75/x
  3. Step 3: Cross multiply
    270.16x = 405.34 × 107.75
  4. Step 4: Simplify right side
    270.16x = 43,676.13
  5. Step 5: Solve for x
    x = 43,676.13/270.16
  6. Step 6: Final answer
    x = 161.67

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