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Finding the Fourth Proportional to 298, 447.06 and 161.23

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Solution

The fourth proportional to 298, 447.06 and 161.23 is: 241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 447.06 = 161.23 : x
  2. Step 2: Convert to fraction form
    298/447.06 = 161.23/x
  3. Step 3: Cross multiply
    298x = 447.06 × 161.23
  4. Step 4: Simplify right side
    298x = 72,079.48
  5. Step 5: Solve for x
    x = 72,079.48/298
  6. Step 6: Final answer
    x = 241.88

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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.