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Finding the Fourth Proportional to 197.41, 295.85 and 125.14

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Solution

The fourth proportional to 197.41, 295.85 and 125.14 is: 187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.41 : 295.85 = 125.14 : x
  2. Step 2: Convert to fraction form
    197.41/295.85 = 125.14/x
  3. Step 3: Cross multiply
    197.41x = 295.85 × 125.14
  4. Step 4: Simplify right side
    197.41x = 37,022.65
  5. Step 5: Solve for x
    x = 37,022.65/197.41
  6. Step 6: Final answer
    x = 187.54

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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.