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Finding the Fourth Proportional to 340.71, 470.19 and 185.46

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Solution

The fourth proportional to 340.71, 470.19 and 185.46 is: 255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.71 : 470.19 = 185.46 : x
  2. Step 2: Convert to fraction form
    340.71/470.19 = 185.46/x
  3. Step 3: Cross multiply
    340.71x = 470.19 × 185.46
  4. Step 4: Simplify right side
    340.71x = 87,201.44
  5. Step 5: Solve for x
    x = 87,201.44/340.71
  6. Step 6: Final answer
    x = 255.94

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