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Finding the Fourth Proportional to 450.85, 676.24 and 121.78

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Solution

The fourth proportional to 450.85, 676.24 and 121.78 is: 182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.85 : 676.24 = 121.78 : x
  2. Step 2: Convert to fraction form
    450.85/676.24 = 121.78/x
  3. Step 3: Cross multiply
    450.85x = 676.24 × 121.78
  4. Step 4: Simplify right side
    450.85x = 82,352.51
  5. Step 5: Solve for x
    x = 82,352.51/450.85
  6. Step 6: Final answer
    x = 182.66

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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.