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Finding the Fourth Proportional to 442.25, 663.46 and 168.34

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Solution

The fourth proportional to 442.25, 663.46 and 168.34 is: 252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 663.46 = 168.34 : x
  2. Step 2: Convert to fraction form
    442.25/663.46 = 168.34/x
  3. Step 3: Cross multiply
    442.25x = 663.46 × 168.34
  4. Step 4: Simplify right side
    442.25x = 111,686.86
  5. Step 5: Solve for x
    x = 111,686.86/442.25
  6. Step 6: Final answer
    x = 252.55

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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.