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Finding the Fourth Proportional to 445.26, 668.09 and 171.41

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Solution

The fourth proportional to 445.26, 668.09 and 171.41 is: 257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.26 : 668.09 = 171.41 : x
  2. Step 2: Convert to fraction form
    445.26/668.09 = 171.41/x
  3. Step 3: Cross multiply
    445.26x = 668.09 × 171.41
  4. Step 4: Simplify right side
    445.26x = 114,519.41
  5. Step 5: Solve for x
    x = 114,519.41/445.26
  6. Step 6: Final answer
    x = 257.20

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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.