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Finding the Fourth Proportional to 419.97, 629.96 and 111.86

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Solution

The fourth proportional to 419.97, 629.96 and 111.86 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.97 : 629.96 = 111.86 : x
  2. Step 2: Convert to fraction form
    419.97/629.96 = 111.86/x
  3. Step 3: Cross multiply
    419.97x = 629.96 × 111.86
  4. Step 4: Simplify right side
    419.97x = 70,463.62
  5. Step 5: Solve for x
    x = 70,463.62/419.97
  6. Step 6: Final answer
    x = 167.78

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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.