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Finding the Fourth Proportional to 257.76, 386.33 and 171.02

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Solution

The fourth proportional to 257.76, 386.33 and 171.02 is: 256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 386.33 = 171.02 : x
  2. Step 2: Convert to fraction form
    257.76/386.33 = 171.02/x
  3. Step 3: Cross multiply
    257.76x = 386.33 × 171.02
  4. Step 4: Simplify right side
    257.76x = 66,067.37
  5. Step 5: Solve for x
    x = 66,067.37/257.76
  6. Step 6: Final answer
    x = 256.31

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