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Finding the Fourth Proportional to 285.86, 428.92 and 170.30

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Solution

The fourth proportional to 285.86, 428.92 and 170.30 is: 255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 428.92 = 170.30 : x
  2. Step 2: Convert to fraction form
    285.86/428.92 = 170.30/x
  3. Step 3: Cross multiply
    285.86x = 428.92 × 170.30
  4. Step 4: Simplify right side
    285.86x = 73,045.08
  5. Step 5: Solve for x
    x = 73,045.08/285.86
  6. Step 6: Final answer
    x = 255.53

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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.