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Finding the Fourth Proportional to 300.92, 451.34 and 105.90

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Solution

The fourth proportional to 300.92, 451.34 and 105.90 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 451.34 = 105.90 : x
  2. Step 2: Convert to fraction form
    300.92/451.34 = 105.90/x
  3. Step 3: Cross multiply
    300.92x = 451.34 × 105.90
  4. Step 4: Simplify right side
    300.92x = 47,796.91
  5. Step 5: Solve for x
    x = 47,796.91/300.92
  6. Step 6: Final answer
    x = 158.84

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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.