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Finding the Fourth Proportional to 513.34, 769.77 and 166.66

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Solution

The fourth proportional to 513.34, 769.77 and 166.66 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.34 : 769.77 = 166.66 : x
  2. Step 2: Convert to fraction form
    513.34/769.77 = 166.66/x
  3. Step 3: Cross multiply
    513.34x = 769.77 × 166.66
  4. Step 4: Simplify right side
    513.34x = 128,289.87
  5. Step 5: Solve for x
    x = 128,289.87/513.34
  6. Step 6: Final answer
    x = 249.91

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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.