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Finding the Fourth Proportional to 286.22, 395.18 and 216.44

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Solution

The fourth proportional to 286.22, 395.18 and 216.44 is: 298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 395.18 = 216.44 : x
  2. Step 2: Convert to fraction form
    286.22/395.18 = 216.44/x
  3. Step 3: Cross multiply
    286.22x = 395.18 × 216.44
  4. Step 4: Simplify right side
    286.22x = 85,532.76
  5. Step 5: Solve for x
    x = 85,532.76/286.22
  6. Step 6: Final answer
    x = 298.84

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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.