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Finding the Fourth Proportional to 322.50, 445.06 and 224.22

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Solution

The fourth proportional to 322.50, 445.06 and 224.22 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 445.06 = 224.22 : x
  2. Step 2: Convert to fraction form
    322.50/445.06 = 224.22/x
  3. Step 3: Cross multiply
    322.50x = 445.06 × 224.22
  4. Step 4: Simplify right side
    322.50x = 99,791.35
  5. Step 5: Solve for x
    x = 99,791.35/322.50
  6. Step 6: Final answer
    x = 309.43

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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.