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Finding the Fourth Proportional to 200.94, 274.80 and 198.12

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Solution

The fourth proportional to 200.94, 274.80 and 198.12 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.94 : 274.80 = 198.12 : x
  2. Step 2: Convert to fraction form
    200.94/274.80 = 198.12/x
  3. Step 3: Cross multiply
    200.94x = 274.80 × 198.12
  4. Step 4: Simplify right side
    200.94x = 54,443.38
  5. Step 5: Solve for x
    x = 54,443.38/200.94
  6. Step 6: Final answer
    x = 270.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.