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Finding the Fourth Proportional to 197.86, 295.89 and 154.03

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Solution

The fourth proportional to 197.86, 295.89 and 154.03 is: 230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.86 : 295.89 = 154.03 : x
  2. Step 2: Convert to fraction form
    197.86/295.89 = 154.03/x
  3. Step 3: Cross multiply
    197.86x = 295.89 × 154.03
  4. Step 4: Simplify right side
    197.86x = 45,575.94
  5. Step 5: Solve for x
    x = 45,575.94/197.86
  6. Step 6: Final answer
    x = 230.34

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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.