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Finding the Fourth Proportional to 451.61, 676.92 and 191.57

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Solution

The fourth proportional to 451.61, 676.92 and 191.57 is: 287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.61 : 676.92 = 191.57 : x
  2. Step 2: Convert to fraction form
    451.61/676.92 = 191.57/x
  3. Step 3: Cross multiply
    451.61x = 676.92 × 191.57
  4. Step 4: Simplify right side
    451.61x = 129,674.90
  5. Step 5: Solve for x
    x = 129,674.90/451.61
  6. Step 6: Final answer
    x = 287.14

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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.