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Finding the Fourth Proportional to 298.19, 447.29 and 105.82

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Solution

The fourth proportional to 298.19, 447.29 and 105.82 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.19 : 447.29 = 105.82 : x
  2. Step 2: Convert to fraction form
    298.19/447.29 = 105.82/x
  3. Step 3: Cross multiply
    298.19x = 447.29 × 105.82
  4. Step 4: Simplify right side
    298.19x = 47,332.23
  5. Step 5: Solve for x
    x = 47,332.23/298.19
  6. Step 6: Final answer
    x = 158.73

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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.