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Finding the Fourth Proportional to 200.04, 301.99 and 198.96

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Solution

The fourth proportional to 200.04, 301.99 and 198.96 is: 300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 301.99 = 198.96 : x
  2. Step 2: Convert to fraction form
    200.04/301.99 = 198.96/x
  3. Step 3: Cross multiply
    200.04x = 301.99 × 198.96
  4. Step 4: Simplify right side
    200.04x = 60,083.93
  5. Step 5: Solve for x
    x = 60,083.93/200.04
  6. Step 6: Final answer
    x = 300.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.