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Finding the Fourth Proportional to 511.38, 766.83 and 164.62

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Solution

The fourth proportional to 511.38, 766.83 and 164.62 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 766.83 = 164.62 : x
  2. Step 2: Convert to fraction form
    511.38/766.83 = 164.62/x
  3. Step 3: Cross multiply
    511.38x = 766.83 × 164.62
  4. Step 4: Simplify right side
    511.38x = 126,235.55
  5. Step 5: Solve for x
    x = 126,235.55/511.38
  6. Step 6: Final answer
    x = 246.85

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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.