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Finding the Fourth Proportional to 223.97, 309.09 and 141.08

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Solution

The fourth proportional to 223.97, 309.09 and 141.08 is: 194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.97 : 309.09 = 141.08 : x
  2. Step 2: Convert to fraction form
    223.97/309.09 = 141.08/x
  3. Step 3: Cross multiply
    223.97x = 309.09 × 141.08
  4. Step 4: Simplify right side
    223.97x = 43,604.87
  5. Step 5: Solve for x
    x = 43,604.87/223.97
  6. Step 6: Final answer
    x = 194.70

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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.