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Finding the Fourth Proportional to 256.73, 384.81 and 126.58

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Solution

The fourth proportional to 256.73, 384.81 and 126.58 is: 189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.73 : 384.81 = 126.58 : x
  2. Step 2: Convert to fraction form
    256.73/384.81 = 126.58/x
  3. Step 3: Cross multiply
    256.73x = 384.81 × 126.58
  4. Step 4: Simplify right side
    256.73x = 48,709.25
  5. Step 5: Solve for x
    x = 48,709.25/256.73
  6. Step 6: Final answer
    x = 189.73

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