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Finding the Fourth Proportional to 286.17, 394.84 and 219.85

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Solution

The fourth proportional to 286.17, 394.84 and 219.85 is: 303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 394.84 = 219.85 : x
  2. Step 2: Convert to fraction form
    286.17/394.84 = 219.85/x
  3. Step 3: Cross multiply
    286.17x = 394.84 × 219.85
  4. Step 4: Simplify right side
    286.17x = 86,805.57
  5. Step 5: Solve for x
    x = 86,805.57/286.17
  6. Step 6: Final answer
    x = 303.34

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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.