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Finding the Fourth Proportional to 513.38, 770.09 and 166.71

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Solution

The fourth proportional to 513.38, 770.09 and 166.71 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 770.09 = 166.71 : x
  2. Step 2: Convert to fraction form
    513.38/770.09 = 166.71/x
  3. Step 3: Cross multiply
    513.38x = 770.09 × 166.71
  4. Step 4: Simplify right side
    513.38x = 128,380.87
  5. Step 5: Solve for x
    x = 128,380.87/513.38
  6. Step 6: Final answer
    x = 250.07

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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.