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Finding the Fourth Proportional to 255.06, 382.24 and 117.80

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Solution

The fourth proportional to 255.06, 382.24 and 117.80 is: 176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.06 : 382.24 = 117.80 : x
  2. Step 2: Convert to fraction form
    255.06/382.24 = 117.80/x
  3. Step 3: Cross multiply
    255.06x = 382.24 × 117.80
  4. Step 4: Simplify right side
    255.06x = 45,027.87
  5. Step 5: Solve for x
    x = 45,027.87/255.06
  6. Step 6: Final answer
    x = 176.54

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