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Finding the Fourth Proportional to 331.22, 457.10 and 191.39

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Solution

The fourth proportional to 331.22, 457.10 and 191.39 is: 264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.22 : 457.10 = 191.39 : x
  2. Step 2: Convert to fraction form
    331.22/457.10 = 191.39/x
  3. Step 3: Cross multiply
    331.22x = 457.10 × 191.39
  4. Step 4: Simplify right side
    331.22x = 87,481.13
  5. Step 5: Solve for x
    x = 87,481.13/331.22
  6. Step 6: Final answer
    x = 264.12

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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.