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Finding the Fourth Proportional to 627.43, 941.13 and 165.22

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Solution

The fourth proportional to 627.43, 941.13 and 165.22 is: 247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.43 : 941.13 = 165.22 : x
  2. Step 2: Convert to fraction form
    627.43/941.13 = 165.22/x
  3. Step 3: Cross multiply
    627.43x = 941.13 × 165.22
  4. Step 4: Simplify right side
    627.43x = 155,493.50
  5. Step 5: Solve for x
    x = 155,493.50/627.43
  6. Step 6: Final answer
    x = 247.83

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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.