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Finding the Fourth Proportional to 512.85, 768.94 and 166.12

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Solution

The fourth proportional to 512.85, 768.94 and 166.12 is: 249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.85 : 768.94 = 166.12 : x
  2. Step 2: Convert to fraction form
    512.85/768.94 = 166.12/x
  3. Step 3: Cross multiply
    512.85x = 768.94 × 166.12
  4. Step 4: Simplify right side
    512.85x = 127,734.91
  5. Step 5: Solve for x
    x = 127,734.91/512.85
  6. Step 6: Final answer
    x = 249.07

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1.5x scale

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.