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Finding the Fourth Proportional to 257.91, 386.42 and 180.72

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Solution

The fourth proportional to 257.91, 386.42 and 180.72 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.91 : 386.42 = 180.72 : x
  2. Step 2: Convert to fraction form
    257.91/386.42 = 180.72/x
  3. Step 3: Cross multiply
    257.91x = 386.42 × 180.72
  4. Step 4: Simplify right side
    257.91x = 69,832.92
  5. Step 5: Solve for x
    x = 69,832.92/257.91
  6. Step 6: Final answer
    x = 270.76

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