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Finding the Fourth Proportional to 298.10, 447.39 and 161.24

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Solution

The fourth proportional to 298.10, 447.39 and 161.24 is: 241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 447.39 = 161.24 : x
  2. Step 2: Convert to fraction form
    298.10/447.39 = 161.24/x
  3. Step 3: Cross multiply
    298.10x = 447.39 × 161.24
  4. Step 4: Simplify right side
    298.10x = 72,137.16
  5. Step 5: Solve for x
    x = 72,137.16/298.10
  6. Step 6: Final answer
    x = 241.99

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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.