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Finding the Fourth Proportional to 200.20, 272.56 and 198.40

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Solution

The fourth proportional to 200.20, 272.56 and 198.40 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.20 : 272.56 = 198.40 : x
  2. Step 2: Convert to fraction form
    200.20/272.56 = 198.40/x
  3. Step 3: Cross multiply
    200.20x = 272.56 × 198.40
  4. Step 4: Simplify right side
    200.20x = 54,075.90
  5. Step 5: Solve for x
    x = 54,075.90/200.20
  6. Step 6: Final answer
    x = 270.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.