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Finding the Fourth Proportional to 450.97, 676.49 and 158.44

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Solution

The fourth proportional to 450.97, 676.49 and 158.44 is: 237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.97 : 676.49 = 158.44 : x
  2. Step 2: Convert to fraction form
    450.97/676.49 = 158.44/x
  3. Step 3: Cross multiply
    450.97x = 676.49 × 158.44
  4. Step 4: Simplify right side
    450.97x = 107,183.08
  5. Step 5: Solve for x
    x = 107,183.08/450.97
  6. Step 6: Final answer
    x = 237.67

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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.