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Finding the Fourth Proportional to 313.16, 469.79 and 107.75

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Solution

The fourth proportional to 313.16, 469.79 and 107.75 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.16 : 469.79 = 107.75 : x
  2. Step 2: Convert to fraction form
    313.16/469.79 = 107.75/x
  3. Step 3: Cross multiply
    313.16x = 469.79 × 107.75
  4. Step 4: Simplify right side
    313.16x = 50,619.87
  5. Step 5: Solve for x
    x = 50,619.87/313.16
  6. Step 6: Final answer
    x = 161.64

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