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Finding the Fourth Proportional to 513.12, 769.78 and 166.48

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Solution

The fourth proportional to 513.12, 769.78 and 166.48 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.12 : 769.78 = 166.48 : x
  2. Step 2: Convert to fraction form
    513.12/769.78 = 166.48/x
  3. Step 3: Cross multiply
    513.12x = 769.78 × 166.48
  4. Step 4: Simplify right side
    513.12x = 128,151.26
  5. Step 5: Solve for x
    x = 128,151.26/513.12
  6. Step 6: Final answer
    x = 249.75

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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.