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Finding the Fourth Proportional to 223.28, 308.16 and 140.44

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Solution

The fourth proportional to 223.28, 308.16 and 140.44 is: 193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.28 : 308.16 = 140.44 : x
  2. Step 2: Convert to fraction form
    223.28/308.16 = 140.44/x
  3. Step 3: Cross multiply
    223.28x = 308.16 × 140.44
  4. Step 4: Simplify right side
    223.28x = 43,277.99
  5. Step 5: Solve for x
    x = 43,277.99/223.28
  6. Step 6: Final answer
    x = 193.83

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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.