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Finding the Fourth Proportional to 313.72, 470.46 and 118.68

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Solution

The fourth proportional to 313.72, 470.46 and 118.68 is: 177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 470.46 = 118.68 : x
  2. Step 2: Convert to fraction form
    313.72/470.46 = 118.68/x
  3. Step 3: Cross multiply
    313.72x = 470.46 × 118.68
  4. Step 4: Simplify right side
    313.72x = 55,834.19
  5. Step 5: Solve for x
    x = 55,834.19/313.72
  6. Step 6: Final answer
    x = 177.97

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