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Finding the Fourth Proportional to 224.05, 309.22 and 141.09

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Solution

The fourth proportional to 224.05, 309.22 and 141.09 is: 194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.05 : 309.22 = 141.09 : x
  2. Step 2: Convert to fraction form
    224.05/309.22 = 141.09/x
  3. Step 3: Cross multiply
    224.05x = 309.22 × 141.09
  4. Step 4: Simplify right side
    224.05x = 43,627.85
  5. Step 5: Solve for x
    x = 43,627.85/224.05
  6. Step 6: Final answer
    x = 194.72

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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.