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Finding the Fourth Proportional to 629.36, 943.93 and 167.14

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Solution

The fourth proportional to 629.36, 943.93 and 167.14 is: 250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.36 : 943.93 = 167.14 : x
  2. Step 2: Convert to fraction form
    629.36/943.93 = 167.14/x
  3. Step 3: Cross multiply
    629.36x = 943.93 × 167.14
  4. Step 4: Simplify right side
    629.36x = 157,767.62
  5. Step 5: Solve for x
    x = 157,767.62/629.36
  6. Step 6: Final answer
    x = 250.68

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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.