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Finding the Fourth Proportional to 495.45, 743.26 and 166.41

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Solution

The fourth proportional to 495.45, 743.26 and 166.41 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.45 : 743.26 = 166.41 : x
  2. Step 2: Convert to fraction form
    495.45/743.26 = 166.41/x
  3. Step 3: Cross multiply
    495.45x = 743.26 × 166.41
  4. Step 4: Simplify right side
    495.45x = 123,685.90
  5. Step 5: Solve for x
    x = 123,685.90/495.45
  6. Step 6: Final answer
    x = 249.64

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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.