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Finding the Fourth Proportional to 300.92, 451.23 and 189.77

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Solution

The fourth proportional to 300.92, 451.23 and 189.77 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.92 : 451.23 = 189.77 : x
  2. Step 2: Convert to fraction form
    300.92/451.23 = 189.77/x
  3. Step 3: Cross multiply
    300.92x = 451.23 × 189.77
  4. Step 4: Simplify right side
    300.92x = 85,627.66
  5. Step 5: Solve for x
    x = 85,627.66/300.92
  6. Step 6: Final answer
    x = 284.56

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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.