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Finding the Fourth Proportional to 200.23, 300.48 and 198.71

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Solution

The fourth proportional to 200.23, 300.48 and 198.71 is: 298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 300.48 = 198.71 : x
  2. Step 2: Convert to fraction form
    200.23/300.48 = 198.71/x
  3. Step 3: Cross multiply
    200.23x = 300.48 × 198.71
  4. Step 4: Simplify right side
    200.23x = 59,708.38
  5. Step 5: Solve for x
    x = 59,708.38/200.23
  6. Step 6: Final answer
    x = 298.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.