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Finding the Fourth Proportional to 255.83, 383.80 and 118.97

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Solution

The fourth proportional to 255.83, 383.80 and 118.97 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.83 : 383.80 = 118.97 : x
  2. Step 2: Convert to fraction form
    255.83/383.80 = 118.97/x
  3. Step 3: Cross multiply
    255.83x = 383.80 × 118.97
  4. Step 4: Simplify right side
    255.83x = 45,660.13
  5. Step 5: Solve for x
    x = 45,660.13/255.83
  6. Step 6: Final answer
    x = 178.48

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