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Finding the Fourth Proportional to 174.76, 261.96 and 102.64

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Solution

The fourth proportional to 174.76, 261.96 and 102.64 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.76 : 261.96 = 102.64 : x
  2. Step 2: Convert to fraction form
    174.76/261.96 = 102.64/x
  3. Step 3: Cross multiply
    174.76x = 261.96 × 102.64
  4. Step 4: Simplify right side
    174.76x = 26,887.57
  5. Step 5: Solve for x
    x = 26,887.57/174.76
  6. Step 6: Final answer
    x = 153.85

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