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Finding the Fourth Proportional to 256, 384.12 and 159.76

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Solution

The fourth proportional to 256, 384.12 and 159.76 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 384.12 = 159.76 : x
  2. Step 2: Convert to fraction form
    256/384.12 = 159.76/x
  3. Step 3: Cross multiply
    256x = 384.12 × 159.76
  4. Step 4: Simplify right side
    256x = 61,367.01
  5. Step 5: Solve for x
    x = 61,367.01/256
  6. Step 6: Final answer
    x = 239.71

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