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Finding the Fourth Proportional to 629.22, 943.53 and 196.14

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Solution

The fourth proportional to 629.22, 943.53 and 196.14 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.22 : 943.53 = 196.14 : x
  2. Step 2: Convert to fraction form
    629.22/943.53 = 196.14/x
  3. Step 3: Cross multiply
    629.22x = 943.53 × 196.14
  4. Step 4: Simplify right side
    629.22x = 185,063.97
  5. Step 5: Solve for x
    x = 185,063.97/629.22
  6. Step 6: Final answer
    x = 294.12

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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.