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Finding the Fourth Proportional to 629.14, 943.64 and 196.26

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Solution

The fourth proportional to 629.14, 943.64 and 196.26 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.14 : 943.64 = 196.26 : x
  2. Step 2: Convert to fraction form
    629.14/943.64 = 196.26/x
  3. Step 3: Cross multiply
    629.14x = 943.64 × 196.26
  4. Step 4: Simplify right side
    629.14x = 185,198.79
  5. Step 5: Solve for x
    x = 185,198.79/629.14
  6. Step 6: Final answer
    x = 294.37

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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.