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Finding the Fourth Proportional to 257, 384.80 and 195.96

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Solution

The fourth proportional to 257, 384.80 and 195.96 is: 293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 384.80 = 195.96 : x
  2. Step 2: Convert to fraction form
    257/384.80 = 195.96/x
  3. Step 3: Cross multiply
    257x = 384.80 × 195.96
  4. Step 4: Simplify right side
    257x = 75,405.41
  5. Step 5: Solve for x
    x = 75,405.41/257
  6. Step 6: Final answer
    x = 293.41

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