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Finding the Fourth Proportional to 257.04, 384.84 and 179.55

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Solution

The fourth proportional to 257.04, 384.84 and 179.55 is: 268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 384.84 = 179.55 : x
  2. Step 2: Convert to fraction form
    257.04/384.84 = 179.55/x
  3. Step 3: Cross multiply
    257.04x = 384.84 × 179.55
  4. Step 4: Simplify right side
    257.04x = 69,098.02
  5. Step 5: Solve for x
    x = 69,098.02/257.04
  6. Step 6: Final answer
    x = 268.82

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