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Finding the Fourth Proportional to 286.96, 396.06 and 204.20

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Solution

The fourth proportional to 286.96, 396.06 and 204.20 is: 281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.96 : 396.06 = 204.20 : x
  2. Step 2: Convert to fraction form
    286.96/396.06 = 204.20/x
  3. Step 3: Cross multiply
    286.96x = 396.06 × 204.20
  4. Step 4: Simplify right side
    286.96x = 80,875.45
  5. Step 5: Solve for x
    x = 80,875.45/286.96
  6. Step 6: Final answer
    x = 281.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.