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Finding the Fourth Proportional to 149.89, 205.61 and 143.59

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Solution

The fourth proportional to 149.89, 205.61 and 143.59 is: 196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.89 : 205.61 = 143.59 : x
  2. Step 2: Convert to fraction form
    149.89/205.61 = 143.59/x
  3. Step 3: Cross multiply
    149.89x = 205.61 × 143.59
  4. Step 4: Simplify right side
    149.89x = 29,523.38
  5. Step 5: Solve for x
    x = 29,523.38/149.89
  6. Step 6: Final answer
    x = 196.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.