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Finding the Fourth Proportional to 629.19, 943.86 and 166.97

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Solution

The fourth proportional to 629.19, 943.86 and 166.97 is: 250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.19 : 943.86 = 166.97 : x
  2. Step 2: Convert to fraction form
    629.19/943.86 = 166.97/x
  3. Step 3: Cross multiply
    629.19x = 943.86 × 166.97
  4. Step 4: Simplify right side
    629.19x = 157,597.83
  5. Step 5: Solve for x
    x = 157,597.83/629.19
  6. Step 6: Final answer
    x = 250.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.