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Finding the Fourth Proportional to 298.17, 446.97 and 115.56

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Solution

The fourth proportional to 298.17, 446.97 and 115.56 is: 173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.17 : 446.97 = 115.56 : x
  2. Step 2: Convert to fraction form
    298.17/446.97 = 115.56/x
  3. Step 3: Cross multiply
    298.17x = 446.97 × 115.56
  4. Step 4: Simplify right side
    298.17x = 51,651.85
  5. Step 5: Solve for x
    x = 51,651.85/298.17
  6. Step 6: Final answer
    x = 173.23

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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.