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Finding the Fourth Proportional to 256.92, 385.02 and 119.76

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Solution

The fourth proportional to 256.92, 385.02 and 119.76 is: 179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.92 : 385.02 = 119.76 : x
  2. Step 2: Convert to fraction form
    256.92/385.02 = 119.76/x
  3. Step 3: Cross multiply
    256.92x = 385.02 × 119.76
  4. Step 4: Simplify right side
    256.92x = 46,110.00
  5. Step 5: Solve for x
    x = 46,110.00/256.92
  6. Step 6: Final answer
    x = 179.47

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