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Finding the Fourth Proportional to 285.89, 428.24 and 169.99

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Solution

The fourth proportional to 285.89, 428.24 and 169.99 is: 254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.89 : 428.24 = 169.99 : x
  2. Step 2: Convert to fraction form
    285.89/428.24 = 169.99/x
  3. Step 3: Cross multiply
    285.89x = 428.24 × 169.99
  4. Step 4: Simplify right side
    285.89x = 72,795.87
  5. Step 5: Solve for x
    x = 72,795.87/285.89
  6. Step 6: Final answer
    x = 254.63

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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.