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Finding the Fourth Proportional to 306.78, 460.11 and 169.77

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Solution

The fourth proportional to 306.78, 460.11 and 169.77 is: 254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 460.11 = 169.77 : x
  2. Step 2: Convert to fraction form
    306.78/460.11 = 169.77/x
  3. Step 3: Cross multiply
    306.78x = 460.11 × 169.77
  4. Step 4: Simplify right side
    306.78x = 78,112.87
  5. Step 5: Solve for x
    x = 78,112.87/306.78
  6. Step 6: Final answer
    x = 254.62

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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.