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Finding the Fourth Proportional to 286.17, 394.97 and 208.50

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Solution

The fourth proportional to 286.17, 394.97 and 208.50 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 394.97 = 208.50 : x
  2. Step 2: Convert to fraction form
    286.17/394.97 = 208.50/x
  3. Step 3: Cross multiply
    286.17x = 394.97 × 208.50
  4. Step 4: Simplify right side
    286.17x = 82,350.20
  5. Step 5: Solve for x
    x = 82,350.20/286.17
  6. Step 6: Final answer
    x = 287.77

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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.