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Finding the Fourth Proportional to 286.43, 395.50 and 224.15

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Solution

The fourth proportional to 286.43, 395.50 and 224.15 is: 309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.43 : 395.50 = 224.15 : x
  2. Step 2: Convert to fraction form
    286.43/395.50 = 224.15/x
  3. Step 3: Cross multiply
    286.43x = 395.50 × 224.15
  4. Step 4: Simplify right side
    286.43x = 88,651.75
  5. Step 5: Solve for x
    x = 88,651.75/286.43
  6. Step 6: Final answer
    x = 309.50

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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.