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Finding the Fourth Proportional to 313.82, 470.76 and 169.46

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Solution

The fourth proportional to 313.82, 470.76 and 169.46 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.82 : 470.76 = 169.46 : x
  2. Step 2: Convert to fraction form
    313.82/470.76 = 169.46/x
  3. Step 3: Cross multiply
    313.82x = 470.76 × 169.46
  4. Step 4: Simplify right side
    313.82x = 79,774.99
  5. Step 5: Solve for x
    x = 79,774.99/313.82
  6. Step 6: Final answer
    x = 254.21

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