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Finding the Fourth Proportional to 512.70, 769.10 and 166.02

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Solution

The fourth proportional to 512.70, 769.10 and 166.02 is: 249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 769.10 = 166.02 : x
  2. Step 2: Convert to fraction form
    512.70/769.10 = 166.02/x
  3. Step 3: Cross multiply
    512.70x = 769.10 × 166.02
  4. Step 4: Simplify right side
    512.70x = 127,685.98
  5. Step 5: Solve for x
    x = 127,685.98/512.70
  6. Step 6: Final answer
    x = 249.05

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Double scale
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Similar ratio
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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.