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Finding the Fourth Proportional to 451.24, 676.94 and 177.26

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Solution

The fourth proportional to 451.24, 676.94 and 177.26 is: 265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.24 : 676.94 = 177.26 : x
  2. Step 2: Convert to fraction form
    451.24/676.94 = 177.26/x
  3. Step 3: Cross multiply
    451.24x = 676.94 × 177.26
  4. Step 4: Simplify right side
    451.24x = 119,994.38
  5. Step 5: Solve for x
    x = 119,994.38/451.24
  6. Step 6: Final answer
    x = 265.92

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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.