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Finding the Fourth Proportional to 256.82, 385.05 and 119.80

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Solution

The fourth proportional to 256.82, 385.05 and 119.80 is: 179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.82 : 385.05 = 119.80 : x
  2. Step 2: Convert to fraction form
    256.82/385.05 = 119.80/x
  3. Step 3: Cross multiply
    256.82x = 385.05 × 119.80
  4. Step 4: Simplify right side
    256.82x = 46,127.75
  5. Step 5: Solve for x
    x = 46,127.75/256.82
  6. Step 6: Final answer
    x = 179.61

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