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Finding the Fourth Proportional to 445.12, 667.80 and 137.02

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Solution

The fourth proportional to 445.12, 667.80 and 137.02 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.12 : 667.80 = 137.02 : x
  2. Step 2: Convert to fraction form
    445.12/667.80 = 137.02/x
  3. Step 3: Cross multiply
    445.12x = 667.80 × 137.02
  4. Step 4: Simplify right side
    445.12x = 91,501.96
  5. Step 5: Solve for x
    x = 91,501.96/445.12
  6. Step 6: Final answer
    x = 205.57

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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.