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Finding the Fourth Proportional to 462.25, 693.42 and 169.84

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Solution

The fourth proportional to 462.25, 693.42 and 169.84 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 693.42 = 169.84 : x
  2. Step 2: Convert to fraction form
    462.25/693.42 = 169.84/x
  3. Step 3: Cross multiply
    462.25x = 693.42 × 169.84
  4. Step 4: Simplify right side
    462.25x = 117,770.45
  5. Step 5: Solve for x
    x = 117,770.45/462.25
  6. Step 6: Final answer
    x = 254.78

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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.