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Finding the Fourth Proportional to 331.69, 457.81 and 191.89

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Solution

The fourth proportional to 331.69, 457.81 and 191.89 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.69 : 457.81 = 191.89 : x
  2. Step 2: Convert to fraction form
    331.69/457.81 = 191.89/x
  3. Step 3: Cross multiply
    331.69x = 457.81 × 191.89
  4. Step 4: Simplify right side
    331.69x = 87,848.03
  5. Step 5: Solve for x
    x = 87,848.03/331.69
  6. Step 6: Final answer
    x = 264.85

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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.