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Finding the Fourth Proportional to 297.62, 446.58 and 199.88

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Solution

The fourth proportional to 297.62, 446.58 and 199.88 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.62 : 446.58 = 199.88 : x
  2. Step 2: Convert to fraction form
    297.62/446.58 = 199.88/x
  3. Step 3: Cross multiply
    297.62x = 446.58 × 199.88
  4. Step 4: Simplify right side
    297.62x = 89,262.41
  5. Step 5: Solve for x
    x = 89,262.41/297.62
  6. Step 6: Final answer
    x = 299.92

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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.