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Finding the Fourth Proportional to 204.92, 283.98 and 202.64

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Solution

The fourth proportional to 204.92, 283.98 and 202.64 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 283.98 = 202.64 : x
  2. Step 2: Convert to fraction form
    204.92/283.98 = 202.64/x
  3. Step 3: Cross multiply
    204.92x = 283.98 × 202.64
  4. Step 4: Simplify right side
    204.92x = 57,545.71
  5. Step 5: Solve for x
    x = 57,545.71/204.92
  6. Step 6: Final answer
    x = 280.82

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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.