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Finding the Fourth Proportional to 445.38, 668.16 and 137.25

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Solution

The fourth proportional to 445.38, 668.16 and 137.25 is: 205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.38 : 668.16 = 137.25 : x
  2. Step 2: Convert to fraction form
    445.38/668.16 = 137.25/x
  3. Step 3: Cross multiply
    445.38x = 668.16 × 137.25
  4. Step 4: Simplify right side
    445.38x = 91,704.96
  5. Step 5: Solve for x
    x = 91,704.96/445.38
  6. Step 6: Final answer
    x = 205.90

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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.