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Finding the Fourth Proportional to 256.03, 384.08 and 82.64

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Solution

The fourth proportional to 256.03, 384.08 and 82.64 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.03 : 384.08 = 82.64 : x
  2. Step 2: Convert to fraction form
    256.03/384.08 = 82.64/x
  3. Step 3: Cross multiply
    256.03x = 384.08 × 82.64
  4. Step 4: Simplify right side
    256.03x = 31,740.30
  5. Step 5: Solve for x
    x = 31,740.30/256.03
  6. Step 6: Final answer
    x = 123.97

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