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Finding the Fourth Proportional to 314.25, 470.97 and 177.36

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Solution

The fourth proportional to 314.25, 470.97 and 177.36 is: 265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 470.97 = 177.36 : x
  2. Step 2: Convert to fraction form
    314.25/470.97 = 177.36/x
  3. Step 3: Cross multiply
    314.25x = 470.97 × 177.36
  4. Step 4: Simplify right side
    314.25x = 83,531.24
  5. Step 5: Solve for x
    x = 83,531.24/314.25
  6. Step 6: Final answer
    x = 265.81

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