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Finding the Fourth Proportional to 451.62, 676.94 and 177.59

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Solution

The fourth proportional to 451.62, 676.94 and 177.59 is: 266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 676.94 = 177.59 : x
  2. Step 2: Convert to fraction form
    451.62/676.94 = 177.59/x
  3. Step 3: Cross multiply
    451.62x = 676.94 × 177.59
  4. Step 4: Simplify right side
    451.62x = 120,213.50
  5. Step 5: Solve for x
    x = 120,213.50/451.62
  6. Step 6: Final answer
    x = 266.18

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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.