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Finding the Fourth Proportional to 286.22, 394.43 and 224.25

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Solution

The fourth proportional to 286.22, 394.43 and 224.25 is: 309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 394.43 = 224.25 : x
  2. Step 2: Convert to fraction form
    286.22/394.43 = 224.25/x
  3. Step 3: Cross multiply
    286.22x = 394.43 × 224.25
  4. Step 4: Simplify right side
    286.22x = 88,449.81
  5. Step 5: Solve for x
    x = 88,449.81/286.22
  6. Step 6: Final answer
    x = 309.03

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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.