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Finding the Fourth Proportional to 445.99, 668.99 and 137.84

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Solution

The fourth proportional to 445.99, 668.99 and 137.84 is: 206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.99 : 668.99 = 137.84 : x
  2. Step 2: Convert to fraction form
    445.99/668.99 = 137.84/x
  3. Step 3: Cross multiply
    445.99x = 668.99 × 137.84
  4. Step 4: Simplify right side
    445.99x = 92,213.58
  5. Step 5: Solve for x
    x = 92,213.58/445.99
  6. Step 6: Final answer
    x = 206.76

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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.