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Finding the Fourth Proportional to 664.71, 996.98 and 177.80

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Solution

The fourth proportional to 664.71, 996.98 and 177.80 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.71 : 996.98 = 177.80 : x
  2. Step 2: Convert to fraction form
    664.71/996.98 = 177.80/x
  3. Step 3: Cross multiply
    664.71x = 996.98 × 177.80
  4. Step 4: Simplify right side
    664.71x = 177,257.17
  5. Step 5: Solve for x
    x = 177,257.17/664.71
  6. Step 6: Final answer
    x = 266.67

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