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Finding the Fourth Proportional to 450.92, 676.50 and 142.82

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Solution

The fourth proportional to 450.92, 676.50 and 142.82 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.92 : 676.50 = 142.82 : x
  2. Step 2: Convert to fraction form
    450.92/676.50 = 142.82/x
  3. Step 3: Cross multiply
    450.92x = 676.50 × 142.82
  4. Step 4: Simplify right side
    450.92x = 96,617.73
  5. Step 5: Solve for x
    x = 96,617.73/450.92
  6. Step 6: Final answer
    x = 214.27

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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.