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Finding the Fourth Proportional to 285.43, 428.46 and 199.14

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Solution

The fourth proportional to 285.43, 428.46 and 199.14 is: 298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.43 : 428.46 = 199.14 : x
  2. Step 2: Convert to fraction form
    285.43/428.46 = 199.14/x
  3. Step 3: Cross multiply
    285.43x = 428.46 × 199.14
  4. Step 4: Simplify right side
    285.43x = 85,323.52
  5. Step 5: Solve for x
    x = 85,323.52/285.43
  6. Step 6: Final answer
    x = 298.93

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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.