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Finding the Fourth Proportional to 451.32, 676.77 and 177.21

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Solution

The fourth proportional to 451.32, 676.77 and 177.21 is: 265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.32 : 676.77 = 177.21 : x
  2. Step 2: Convert to fraction form
    451.32/676.77 = 177.21/x
  3. Step 3: Cross multiply
    451.32x = 676.77 × 177.21
  4. Step 4: Simplify right side
    451.32x = 119,930.41
  5. Step 5: Solve for x
    x = 119,930.41/451.32
  6. Step 6: Final answer
    x = 265.73

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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.