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Finding the Fourth Proportional to 513.97, 770.56 and 167.09

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Solution

The fourth proportional to 513.97, 770.56 and 167.09 is: 250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.97 : 770.56 = 167.09 : x
  2. Step 2: Convert to fraction form
    513.97/770.56 = 167.09/x
  3. Step 3: Cross multiply
    513.97x = 770.56 × 167.09
  4. Step 4: Simplify right side
    513.97x = 128,754.38
  5. Step 5: Solve for x
    x = 128,754.38/513.97
  6. Step 6: Final answer
    x = 250.51

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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.