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Finding the Fourth Proportional to 331, 456.86 and 193

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Solution

The fourth proportional to 331, 456.86 and 193 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    331 : 456.86 = 193 : x
  2. Step 2: Convert to fraction form
    331/456.86 = 193/x
  3. Step 3: Cross multiply
    331x = 456.86 × 193
  4. Step 4: Simplify right side
    331x = 88,173.98
  5. Step 5: Solve for x
    x = 88,173.98/331
  6. Step 6: Final answer
    x = 266.39

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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.