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Finding the Fourth Proportional to 286.35, 395.01 and 224.16

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Solution

The fourth proportional to 286.35, 395.01 and 224.16 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.35 : 395.01 = 224.16 : x
  2. Step 2: Convert to fraction form
    286.35/395.01 = 224.16/x
  3. Step 3: Cross multiply
    286.35x = 395.01 × 224.16
  4. Step 4: Simplify right side
    286.35x = 88,545.44
  5. Step 5: Solve for x
    x = 88,545.44/286.35
  6. Step 6: Final answer
    x = 309.22

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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.