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Finding the Fourth Proportional to 451.22, 676.76 and 177.49

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Solution

The fourth proportional to 451.22, 676.76 and 177.49 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.22 : 676.76 = 177.49 : x
  2. Step 2: Convert to fraction form
    451.22/676.76 = 177.49/x
  3. Step 3: Cross multiply
    451.22x = 676.76 × 177.49
  4. Step 4: Simplify right side
    451.22x = 120,118.09
  5. Step 5: Solve for x
    x = 120,118.09/451.22
  6. Step 6: Final answer
    x = 266.21

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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.