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Finding the Fourth Proportional to 442.73, 663.73 and 168.67

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Solution

The fourth proportional to 442.73, 663.73 and 168.67 is: 252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.73 : 663.73 = 168.67 : x
  2. Step 2: Convert to fraction form
    442.73/663.73 = 168.67/x
  3. Step 3: Cross multiply
    442.73x = 663.73 × 168.67
  4. Step 4: Simplify right side
    442.73x = 111,951.34
  5. Step 5: Solve for x
    x = 111,951.34/442.73
  6. Step 6: Final answer
    x = 252.87

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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.