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Finding the Fourth Proportional to 629.46, 944.09 and 167.25

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Solution

The fourth proportional to 629.46, 944.09 and 167.25 is: 250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.46 : 944.09 = 167.25 : x
  2. Step 2: Convert to fraction form
    629.46/944.09 = 167.25/x
  3. Step 3: Cross multiply
    629.46x = 944.09 × 167.25
  4. Step 4: Simplify right side
    629.46x = 157,898.22
  5. Step 5: Solve for x
    x = 157,898.22/629.46
  6. Step 6: Final answer
    x = 250.85

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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.