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Finding the Fourth Proportional to 259.92, 388.80 and 177.84

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Solution

The fourth proportional to 259.92, 388.80 and 177.84 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 388.80 = 177.84 : x
  2. Step 2: Convert to fraction form
    259.92/388.80 = 177.84/x
  3. Step 3: Cross multiply
    259.92x = 388.80 × 177.84
  4. Step 4: Simplify right side
    259.92x = 69,144.19
  5. Step 5: Solve for x
    x = 69,144.19/259.92
  6. Step 6: Final answer
    x = 266.02

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