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Finding the Fourth Proportional to 256.11, 383.65 and 164.87

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Solution

The fourth proportional to 256.11, 383.65 and 164.87 is: 246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.11 : 383.65 = 164.87 : x
  2. Step 2: Convert to fraction form
    256.11/383.65 = 164.87/x
  3. Step 3: Cross multiply
    256.11x = 383.65 × 164.87
  4. Step 4: Simplify right side
    256.11x = 63,251.72
  5. Step 5: Solve for x
    x = 63,251.72/256.11
  6. Step 6: Final answer
    x = 246.97

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