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Finding the Fourth Proportional to 297.92, 447.76 and 202.40

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Solution

The fourth proportional to 297.92, 447.76 and 202.40 is: 304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 447.76 = 202.40 : x
  2. Step 2: Convert to fraction form
    297.92/447.76 = 202.40/x
  3. Step 3: Cross multiply
    297.92x = 447.76 × 202.40
  4. Step 4: Simplify right side
    297.92x = 90,626.62
  5. Step 5: Solve for x
    x = 90,626.62/297.92
  6. Step 6: Final answer
    x = 304.20

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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.