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Finding the Fourth Proportional to 298.55, 447.26 and 161.42

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Solution

The fourth proportional to 298.55, 447.26 and 161.42 is: 241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.55 : 447.26 = 161.42 : x
  2. Step 2: Convert to fraction form
    298.55/447.26 = 161.42/x
  3. Step 3: Cross multiply
    298.55x = 447.26 × 161.42
  4. Step 4: Simplify right side
    298.55x = 72,193.67
  5. Step 5: Solve for x
    x = 72,193.67/298.55
  6. Step 6: Final answer
    x = 241.81

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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.