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Finding the Fourth Proportional to 200.78, 276.10 and 194.70

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Solution

The fourth proportional to 200.78, 276.10 and 194.70 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 276.10 = 194.70 : x
  2. Step 2: Convert to fraction form
    200.78/276.10 = 194.70/x
  3. Step 3: Cross multiply
    200.78x = 276.10 × 194.70
  4. Step 4: Simplify right side
    200.78x = 53,756.18
  5. Step 5: Solve for x
    x = 53,756.18/200.78
  6. Step 6: Final answer
    x = 267.74

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