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Finding the Fourth Proportional to 454.68, 682.02 and 198.12

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Solution

The fourth proportional to 454.68, 682.02 and 198.12 is: 297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 682.02 = 198.12 : x
  2. Step 2: Convert to fraction form
    454.68/682.02 = 198.12/x
  3. Step 3: Cross multiply
    454.68x = 682.02 × 198.12
  4. Step 4: Simplify right side
    454.68x = 135,121.80
  5. Step 5: Solve for x
    x = 135,121.80/454.68
  6. Step 6: Final answer
    x = 297.18

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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.