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Finding the Fourth Proportional to 381.76, 572.60 and 198.68

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Solution

The fourth proportional to 381.76, 572.60 and 198.68 is: 298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.76 : 572.60 = 198.68 : x
  2. Step 2: Convert to fraction form
    381.76/572.60 = 198.68/x
  3. Step 3: Cross multiply
    381.76x = 572.60 × 198.68
  4. Step 4: Simplify right side
    381.76x = 113,764.17
  5. Step 5: Solve for x
    x = 113,764.17/381.76
  6. Step 6: Final answer
    x = 298.00

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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.