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Finding the Fourth Proportional to 286.96, 396.24 and 208.30

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Solution

The fourth proportional to 286.96, 396.24 and 208.30 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.96 : 396.24 = 208.30 : x
  2. Step 2: Convert to fraction form
    286.96/396.24 = 208.30/x
  3. Step 3: Cross multiply
    286.96x = 396.24 × 208.30
  4. Step 4: Simplify right side
    286.96x = 82,536.79
  5. Step 5: Solve for x
    x = 82,536.79/286.96
  6. Step 6: Final answer
    x = 287.62

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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.