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Finding the Fourth Proportional to 200.93, 275.43 and 198.20

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Solution

The fourth proportional to 200.93, 275.43 and 198.20 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.93 : 275.43 = 198.20 : x
  2. Step 2: Convert to fraction form
    200.93/275.43 = 198.20/x
  3. Step 3: Cross multiply
    200.93x = 275.43 × 198.20
  4. Step 4: Simplify right side
    200.93x = 54,588.44
  5. Step 5: Solve for x
    x = 54,588.44/200.93
  6. Step 6: Final answer
    x = 271.68

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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.