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Finding the Fourth Proportional to 451.23, 677.11 and 191.21

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Solution

The fourth proportional to 451.23, 677.11 and 191.21 is: 286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.23 : 677.11 = 191.21 : x
  2. Step 2: Convert to fraction form
    451.23/677.11 = 191.21/x
  3. Step 3: Cross multiply
    451.23x = 677.11 × 191.21
  4. Step 4: Simplify right side
    451.23x = 129,469.25
  5. Step 5: Solve for x
    x = 129,469.25/451.23
  6. Step 6: Final answer
    x = 286.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.