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Finding the Fourth Proportional to 174.21, 261.68 and 105.76

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Solution

The fourth proportional to 174.21, 261.68 and 105.76 is: 158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.21 : 261.68 = 105.76 : x
  2. Step 2: Convert to fraction form
    174.21/261.68 = 105.76/x
  3. Step 3: Cross multiply
    174.21x = 261.68 × 105.76
  4. Step 4: Simplify right side
    174.21x = 27,674.75
  5. Step 5: Solve for x
    x = 27,674.75/174.21
  6. Step 6: Final answer
    x = 158.86

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