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Finding the Fourth Proportional to 252.71, 378.90 and 171.30

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Solution

The fourth proportional to 252.71, 378.90 and 171.30 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.71 : 378.90 = 171.30 : x
  2. Step 2: Convert to fraction form
    252.71/378.90 = 171.30/x
  3. Step 3: Cross multiply
    252.71x = 378.90 × 171.30
  4. Step 4: Simplify right side
    252.71x = 64,905.57
  5. Step 5: Solve for x
    x = 64,905.57/252.71
  6. Step 6: Final answer
    x = 256.84

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