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Finding the Fourth Proportional to 255.89, 383.85 and 109.64

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Solution

The fourth proportional to 255.89, 383.85 and 109.64 is: 164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.89 : 383.85 = 109.64 : x
  2. Step 2: Convert to fraction form
    255.89/383.85 = 109.64/x
  3. Step 3: Cross multiply
    255.89x = 383.85 × 109.64
  4. Step 4: Simplify right side
    255.89x = 42,086.27
  5. Step 5: Solve for x
    x = 42,086.27/255.89
  6. Step 6: Final answer
    x = 164.47

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