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Finding the Fourth Proportional to 445.15, 667.86 and 137.01

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Solution

The fourth proportional to 445.15, 667.86 and 137.01 is: 205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.15 : 667.86 = 137.01 : x
  2. Step 2: Convert to fraction form
    445.15/667.86 = 137.01/x
  3. Step 3: Cross multiply
    445.15x = 667.86 × 137.01
  4. Step 4: Simplify right side
    445.15x = 91,503.50
  5. Step 5: Solve for x
    x = 91,503.50/445.15
  6. Step 6: Final answer
    x = 205.56

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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.