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Finding the Fourth Proportional to 285.41, 428.11 and 198.50

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Solution

The fourth proportional to 285.41, 428.11 and 198.50 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.41 : 428.11 = 198.50 : x
  2. Step 2: Convert to fraction form
    285.41/428.11 = 198.50/x
  3. Step 3: Cross multiply
    285.41x = 428.11 × 198.50
  4. Step 4: Simplify right side
    285.41x = 84,977.20
  5. Step 5: Solve for x
    x = 84,977.20/285.41
  6. Step 6: Final answer
    x = 297.73

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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.