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Finding the Fourth Proportional to 200.75, 300.78 and 177.80

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Solution

The fourth proportional to 200.75, 300.78 and 177.80 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 300.78 = 177.80 : x
  2. Step 2: Convert to fraction form
    200.75/300.78 = 177.80/x
  3. Step 3: Cross multiply
    200.75x = 300.78 × 177.80
  4. Step 4: Simplify right side
    200.75x = 53,477.18
  5. Step 5: Solve for x
    x = 53,477.18/200.75
  6. Step 6: Final answer
    x = 266.39

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