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Finding the Fourth Proportional to 513.74, 770.63 and 167.09

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Solution

The fourth proportional to 513.74, 770.63 and 167.09 is: 250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 770.63 = 167.09 : x
  2. Step 2: Convert to fraction form
    513.74/770.63 = 167.09/x
  3. Step 3: Cross multiply
    513.74x = 770.63 × 167.09
  4. Step 4: Simplify right side
    513.74x = 128,764.57
  5. Step 5: Solve for x
    x = 128,764.57/513.74
  6. Step 6: Final answer
    x = 250.64

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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.