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Finding the Fourth Proportional to 450.76, 676.17 and 121.69

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Solution

The fourth proportional to 450.76, 676.17 and 121.69 is: 182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.76 : 676.17 = 121.69 : x
  2. Step 2: Convert to fraction form
    450.76/676.17 = 121.69/x
  3. Step 3: Cross multiply
    450.76x = 676.17 × 121.69
  4. Step 4: Simplify right side
    450.76x = 82,283.13
  5. Step 5: Solve for x
    x = 82,283.13/450.76
  6. Step 6: Final answer
    x = 182.54

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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.