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Finding the Fourth Proportional to 451.31, 676.91 and 177.33

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Solution

The fourth proportional to 451.31, 676.91 and 177.33 is: 265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.31 : 676.91 = 177.33 : x
  2. Step 2: Convert to fraction form
    451.31/676.91 = 177.33/x
  3. Step 3: Cross multiply
    451.31x = 676.91 × 177.33
  4. Step 4: Simplify right side
    451.31x = 120,035.56
  5. Step 5: Solve for x
    x = 120,035.56/451.31
  6. Step 6: Final answer
    x = 265.97

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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.