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Finding the Fourth Proportional to 451.03, 676.74 and 191.22

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Solution

The fourth proportional to 451.03, 676.74 and 191.22 is: 286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.03 : 676.74 = 191.22 : x
  2. Step 2: Convert to fraction form
    451.03/676.74 = 191.22/x
  3. Step 3: Cross multiply
    451.03x = 676.74 × 191.22
  4. Step 4: Simplify right side
    451.03x = 129,406.70
  5. Step 5: Solve for x
    x = 129,406.70/451.03
  6. Step 6: Final answer
    x = 286.92

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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.