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Finding the Fourth Proportional to 204.09, 304.31 and 200.45

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Solution

The fourth proportional to 204.09, 304.31 and 200.45 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.09 : 304.31 = 200.45 : x
  2. Step 2: Convert to fraction form
    204.09/304.31 = 200.45/x
  3. Step 3: Cross multiply
    204.09x = 304.31 × 200.45
  4. Step 4: Simplify right side
    204.09x = 60,996.42
  5. Step 5: Solve for x
    x = 60,996.42/204.09
  6. Step 6: Final answer
    x = 298.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.