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Finding the Fourth Proportional to 298.32, 447.28 and 161.02

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Solution

The fourth proportional to 298.32, 447.28 and 161.02 is: 241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.32 : 447.28 = 161.02 : x
  2. Step 2: Convert to fraction form
    298.32/447.28 = 161.02/x
  3. Step 3: Cross multiply
    298.32x = 447.28 × 161.02
  4. Step 4: Simplify right side
    298.32x = 72,021.03
  5. Step 5: Solve for x
    x = 72,021.03/298.32
  6. Step 6: Final answer
    x = 241.42

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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.