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Finding the Fourth Proportional to 442.45, 663.68 and 168.22

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Solution

The fourth proportional to 442.45, 663.68 and 168.22 is: 252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.45 : 663.68 = 168.22 : x
  2. Step 2: Convert to fraction form
    442.45/663.68 = 168.22/x
  3. Step 3: Cross multiply
    442.45x = 663.68 × 168.22
  4. Step 4: Simplify right side
    442.45x = 111,644.25
  5. Step 5: Solve for x
    x = 111,644.25/442.45
  6. Step 6: Final answer
    x = 252.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.