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Finding the Fourth Proportional to 664.06, 996.10 and 177.12

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Solution

The fourth proportional to 664.06, 996.10 and 177.12 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.06 : 996.10 = 177.12 : x
  2. Step 2: Convert to fraction form
    664.06/996.10 = 177.12/x
  3. Step 3: Cross multiply
    664.06x = 996.10 × 177.12
  4. Step 4: Simplify right side
    664.06x = 176,429.23
  5. Step 5: Solve for x
    x = 176,429.23/664.06
  6. Step 6: Final answer
    x = 265.68

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