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Finding the Fourth Proportional to 451.06, 676.60 and 177.24

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Solution

The fourth proportional to 451.06, 676.60 and 177.24 is: 265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.06 : 676.60 = 177.24 : x
  2. Step 2: Convert to fraction form
    451.06/676.60 = 177.24/x
  3. Step 3: Cross multiply
    451.06x = 676.60 × 177.24
  4. Step 4: Simplify right side
    451.06x = 119,920.58
  5. Step 5: Solve for x
    x = 119,920.58/451.06
  6. Step 6: Final answer
    x = 265.86

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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.