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Finding the Fourth Proportional to 257.24, 385.43 and 175.92

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Solution

The fourth proportional to 257.24, 385.43 and 175.92 is: 263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.24 : 385.43 = 175.92 : x
  2. Step 2: Convert to fraction form
    257.24/385.43 = 175.92/x
  3. Step 3: Cross multiply
    257.24x = 385.43 × 175.92
  4. Step 4: Simplify right side
    257.24x = 67,803.97
  5. Step 5: Solve for x
    x = 67,803.97/257.24
  6. Step 6: Final answer
    x = 263.59

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