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Finding the Fourth Proportional to 197.93, 296.48 and 125.43

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Solution

The fourth proportional to 197.93, 296.48 and 125.43 is: 187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.93 : 296.48 = 125.43 : x
  2. Step 2: Convert to fraction form
    197.93/296.48 = 125.43/x
  3. Step 3: Cross multiply
    197.93x = 296.48 × 125.43
  4. Step 4: Simplify right side
    197.93x = 37,186.86
  5. Step 5: Solve for x
    x = 37,186.86/197.93
  6. Step 6: Final answer
    x = 187.88

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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.