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Finding the Fourth Proportional to 513.05, 769.62 and 166.44

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Solution

The fourth proportional to 513.05, 769.62 and 166.44 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.05 : 769.62 = 166.44 : x
  2. Step 2: Convert to fraction form
    513.05/769.62 = 166.44/x
  3. Step 3: Cross multiply
    513.05x = 769.62 × 166.44
  4. Step 4: Simplify right side
    513.05x = 128,095.55
  5. Step 5: Solve for x
    x = 128,095.55/513.05
  6. Step 6: Final answer
    x = 249.67

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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.