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Finding the Fourth Proportional to 204.32, 283.66 and 198.38

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Solution

The fourth proportional to 204.32, 283.66 and 198.38 is: 275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.32 : 283.66 = 198.38 : x
  2. Step 2: Convert to fraction form
    204.32/283.66 = 198.38/x
  3. Step 3: Cross multiply
    204.32x = 283.66 × 198.38
  4. Step 4: Simplify right side
    204.32x = 56,272.47
  5. Step 5: Solve for x
    x = 56,272.47/204.32
  6. Step 6: Final answer
    x = 275.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.