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Finding the Fourth Proportional to 298.82, 447.86 and 106.22

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Solution

The fourth proportional to 298.82, 447.86 and 106.22 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.82 : 447.86 = 106.22 : x
  2. Step 2: Convert to fraction form
    298.82/447.86 = 106.22/x
  3. Step 3: Cross multiply
    298.82x = 447.86 × 106.22
  4. Step 4: Simplify right side
    298.82x = 47,571.69
  5. Step 5: Solve for x
    x = 47,571.69/298.82
  6. Step 6: Final answer
    x = 159.20

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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.