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Finding the Fourth Proportional to 298, 446.86 and 161.11

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Solution

The fourth proportional to 298, 446.86 and 161.11 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 446.86 = 161.11 : x
  2. Step 2: Convert to fraction form
    298/446.86 = 161.11/x
  3. Step 3: Cross multiply
    298x = 446.86 × 161.11
  4. Step 4: Simplify right side
    298x = 71,993.61
  5. Step 5: Solve for x
    x = 71,993.61/298
  6. Step 6: Final answer
    x = 241.59

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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.