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Finding the Fourth Proportional to 451.17, 676.36 and 177.46

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Solution

The fourth proportional to 451.17, 676.36 and 177.46 is: 266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.17 : 676.36 = 177.46 : x
  2. Step 2: Convert to fraction form
    451.17/676.36 = 177.46/x
  3. Step 3: Cross multiply
    451.17x = 676.36 × 177.46
  4. Step 4: Simplify right side
    451.17x = 120,022.58
  5. Step 5: Solve for x
    x = 120,022.58/451.17
  6. Step 6: Final answer
    x = 266.03

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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.