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Finding the Fourth Proportional to 223.78, 308.68 and 140.82

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Solution

The fourth proportional to 223.78, 308.68 and 140.82 is: 194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.78 : 308.68 = 140.82 : x
  2. Step 2: Convert to fraction form
    223.78/308.68 = 140.82/x
  3. Step 3: Cross multiply
    223.78x = 308.68 × 140.82
  4. Step 4: Simplify right side
    223.78x = 43,467.19
  5. Step 5: Solve for x
    x = 43,467.19/223.78
  6. Step 6: Final answer
    x = 194.24

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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.