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Finding the Fourth Proportional to 515.05, 772.74 and 168.39

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Solution

The fourth proportional to 515.05, 772.74 and 168.39 is: 252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.05 : 772.74 = 168.39 : x
  2. Step 2: Convert to fraction form
    515.05/772.74 = 168.39/x
  3. Step 3: Cross multiply
    515.05x = 772.74 × 168.39
  4. Step 4: Simplify right side
    515.05x = 130,124.59
  5. Step 5: Solve for x
    x = 130,124.59/515.05
  6. Step 6: Final answer
    x = 252.65

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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.