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Finding the Fourth Proportional to 195.78, 293.41 and 149.90

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Solution

The fourth proportional to 195.78, 293.41 and 149.90 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 293.41 = 149.90 : x
  2. Step 2: Convert to fraction form
    195.78/293.41 = 149.90/x
  3. Step 3: Cross multiply
    195.78x = 293.41 × 149.90
  4. Step 4: Simplify right side
    195.78x = 43,982.16
  5. Step 5: Solve for x
    x = 43,982.16/195.78
  6. Step 6: Final answer
    x = 224.65

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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.