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Finding the Fourth Proportional to 224.31, 309.69 and 141.49

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Solution

The fourth proportional to 224.31, 309.69 and 141.49 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.31 : 309.69 = 141.49 : x
  2. Step 2: Convert to fraction form
    224.31/309.69 = 141.49/x
  3. Step 3: Cross multiply
    224.31x = 309.69 × 141.49
  4. Step 4: Simplify right side
    224.31x = 43,817.33
  5. Step 5: Solve for x
    x = 43,817.33/224.31
  6. Step 6: Final answer
    x = 195.34

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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.