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Finding the Fourth Proportional to 442.94, 664.41 and 113.90

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Solution

The fourth proportional to 442.94, 664.41 and 113.90 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.94 : 664.41 = 113.90 : x
  2. Step 2: Convert to fraction form
    442.94/664.41 = 113.90/x
  3. Step 3: Cross multiply
    442.94x = 664.41 × 113.90
  4. Step 4: Simplify right side
    442.94x = 75,676.30
  5. Step 5: Solve for x
    x = 75,676.30/442.94
  6. Step 6: Final answer
    x = 170.85

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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.