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Finding the Fourth Proportional to 298.05, 447.86 and 161.19

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Solution

The fourth proportional to 298.05, 447.86 and 161.19 is: 242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 447.86 = 161.19 : x
  2. Step 2: Convert to fraction form
    298.05/447.86 = 161.19/x
  3. Step 3: Cross multiply
    298.05x = 447.86 × 161.19
  4. Step 4: Simplify right side
    298.05x = 72,190.55
  5. Step 5: Solve for x
    x = 72,190.55/298.05
  6. Step 6: Final answer
    x = 242.21

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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.