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Finding the Fourth Proportional to 445.06, 667.37 and 136.83

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Solution

The fourth proportional to 445.06, 667.37 and 136.83 is: 205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.06 : 667.37 = 136.83 : x
  2. Step 2: Convert to fraction form
    445.06/667.37 = 136.83/x
  3. Step 3: Cross multiply
    445.06x = 667.37 × 136.83
  4. Step 4: Simplify right side
    445.06x = 91,312.22
  5. Step 5: Solve for x
    x = 91,312.22/445.06
  6. Step 6: Final answer
    x = 205.17

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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.