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Finding the Fourth Proportional to 257.54, 386.52 and 142.07

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Solution

The fourth proportional to 257.54, 386.52 and 142.07 is: 213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.54 : 386.52 = 142.07 : x
  2. Step 2: Convert to fraction form
    257.54/386.52 = 142.07/x
  3. Step 3: Cross multiply
    257.54x = 386.52 × 142.07
  4. Step 4: Simplify right side
    257.54x = 54,910.96
  5. Step 5: Solve for x
    x = 54,910.96/257.54
  6. Step 6: Final answer
    x = 213.22

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