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Finding the Fourth Proportional to 515.42, 772.95 and 168.68

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Solution

The fourth proportional to 515.42, 772.95 and 168.68 is: 252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.42 : 772.95 = 168.68 : x
  2. Step 2: Convert to fraction form
    515.42/772.95 = 168.68/x
  3. Step 3: Cross multiply
    515.42x = 772.95 × 168.68
  4. Step 4: Simplify right side
    515.42x = 130,377.34
  5. Step 5: Solve for x
    x = 130,377.34/515.42
  6. Step 6: Final answer
    x = 252.96

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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.