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Finding the Fourth Proportional to 298.08, 447.11 and 105.69

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Solution

The fourth proportional to 298.08, 447.11 and 105.69 is: 158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.08 : 447.11 = 105.69 : x
  2. Step 2: Convert to fraction form
    298.08/447.11 = 105.69/x
  3. Step 3: Cross multiply
    298.08x = 447.11 × 105.69
  4. Step 4: Simplify right side
    298.08x = 47,254.53
  5. Step 5: Solve for x
    x = 47,254.53/298.08
  6. Step 6: Final answer
    x = 158.53

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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.