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Finding the Fourth Proportional to 223.29, 308.18 and 140.41

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Solution

The fourth proportional to 223.29, 308.18 and 140.41 is: 193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.29 : 308.18 = 140.41 : x
  2. Step 2: Convert to fraction form
    223.29/308.18 = 140.41/x
  3. Step 3: Cross multiply
    223.29x = 308.18 × 140.41
  4. Step 4: Simplify right side
    223.29x = 43,270.92
  5. Step 5: Solve for x
    x = 43,270.92/223.29
  6. Step 6: Final answer
    x = 193.79

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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.