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Finding the Fourth Proportional to 314.38, 470.85 and 169.75

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Solution

The fourth proportional to 314.38, 470.85 and 169.75 is: 254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 470.85 = 169.75 : x
  2. Step 2: Convert to fraction form
    314.38/470.85 = 169.75/x
  3. Step 3: Cross multiply
    314.38x = 470.85 × 169.75
  4. Step 4: Simplify right side
    314.38x = 79,926.79
  5. Step 5: Solve for x
    x = 79,926.79/314.38
  6. Step 6: Final answer
    x = 254.24

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