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Finding the Fourth Proportional to 297.92, 446.27 and 189.38

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Solution

The fourth proportional to 297.92, 446.27 and 189.38 is: 283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 446.27 = 189.38 : x
  2. Step 2: Convert to fraction form
    297.92/446.27 = 189.38/x
  3. Step 3: Cross multiply
    297.92x = 446.27 × 189.38
  4. Step 4: Simplify right side
    297.92x = 84,511.43
  5. Step 5: Solve for x
    x = 84,511.43/297.92
  6. Step 6: Final answer
    x = 283.68

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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.