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Finding the Fourth Proportional to 175.09, 262.35 and 106.64

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Solution

The fourth proportional to 175.09, 262.35 and 106.64 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.09 : 262.35 = 106.64 : x
  2. Step 2: Convert to fraction form
    175.09/262.35 = 106.64/x
  3. Step 3: Cross multiply
    175.09x = 262.35 × 106.64
  4. Step 4: Simplify right side
    175.09x = 27,975.69
  5. Step 5: Solve for x
    x = 27,975.69/175.09
  6. Step 6: Final answer
    x = 159.78

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