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Finding the Fourth Proportional to 313.97, 470.80 and 105.67

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Solution

The fourth proportional to 313.97, 470.80 and 105.67 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.97 : 470.80 = 105.67 : x
  2. Step 2: Convert to fraction form
    313.97/470.80 = 105.67/x
  3. Step 3: Cross multiply
    313.97x = 470.80 × 105.67
  4. Step 4: Simplify right side
    313.97x = 49,749.44
  5. Step 5: Solve for x
    x = 49,749.44/313.97
  6. Step 6: Final answer
    x = 158.45

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