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Finding the Fourth Proportional to 451.22, 676.76 and 177.24

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Solution

The fourth proportional to 451.22, 676.76 and 177.24 is: 265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.22 : 676.76 = 177.24 : x
  2. Step 2: Convert to fraction form
    451.22/676.76 = 177.24/x
  3. Step 3: Cross multiply
    451.22x = 676.76 × 177.24
  4. Step 4: Simplify right side
    451.22x = 119,946.79
  5. Step 5: Solve for x
    x = 119,946.79/451.22
  6. Step 6: Final answer
    x = 265.83

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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.