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Finding the Fourth Proportional to 298.49, 447.42 and 161.80

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Solution

The fourth proportional to 298.49, 447.42 and 161.80 is: 242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 447.42 = 161.80 : x
  2. Step 2: Convert to fraction form
    298.49/447.42 = 161.80/x
  3. Step 3: Cross multiply
    298.49x = 447.42 × 161.80
  4. Step 4: Simplify right side
    298.49x = 72,392.04
  5. Step 5: Solve for x
    x = 72,392.04/298.49
  6. Step 6: Final answer
    x = 242.53

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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.