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Finding the Fourth Proportional to 445.71, 668.64 and 137.59

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Solution

The fourth proportional to 445.71, 668.64 and 137.59 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.71 : 668.64 = 137.59 : x
  2. Step 2: Convert to fraction form
    445.71/668.64 = 137.59/x
  3. Step 3: Cross multiply
    445.71x = 668.64 × 137.59
  4. Step 4: Simplify right side
    445.71x = 91,998.18
  5. Step 5: Solve for x
    x = 91,998.18/445.71
  6. Step 6: Final answer
    x = 206.41

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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.