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Finding the Fourth Proportional to 513.18, 769.84 and 166.45

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Solution

The fourth proportional to 513.18, 769.84 and 166.45 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 769.84 = 166.45 : x
  2. Step 2: Convert to fraction form
    513.18/769.84 = 166.45/x
  3. Step 3: Cross multiply
    513.18x = 769.84 × 166.45
  4. Step 4: Simplify right side
    513.18x = 128,136.02
  5. Step 5: Solve for x
    x = 128,136.02/513.18
  6. Step 6: Final answer
    x = 249.69

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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.