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Finding the Fourth Proportional to 257.04, 354.92 and 205.52

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Solution

The fourth proportional to 257.04, 354.92 and 205.52 is: 283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 354.92 = 205.52 : x
  2. Step 2: Convert to fraction form
    257.04/354.92 = 205.52/x
  3. Step 3: Cross multiply
    257.04x = 354.92 × 205.52
  4. Step 4: Simplify right side
    257.04x = 72,943.16
  5. Step 5: Solve for x
    x = 72,943.16/257.04
  6. Step 6: Final answer
    x = 283.78

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