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Finding the Fourth Proportional to 286.82, 395.61 and 202.64

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Solution

The fourth proportional to 286.82, 395.61 and 202.64 is: 279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.82 : 395.61 = 202.64 : x
  2. Step 2: Convert to fraction form
    286.82/395.61 = 202.64/x
  3. Step 3: Cross multiply
    286.82x = 395.61 × 202.64
  4. Step 4: Simplify right side
    286.82x = 80,166.41
  5. Step 5: Solve for x
    x = 80,166.41/286.82
  6. Step 6: Final answer
    x = 279.50

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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.