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Finding the Fourth Proportional to 197.08, 295.58 and 115.86

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Solution

The fourth proportional to 197.08, 295.58 and 115.86 is: 173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.08 : 295.58 = 115.86 : x
  2. Step 2: Convert to fraction form
    197.08/295.58 = 115.86/x
  3. Step 3: Cross multiply
    197.08x = 295.58 × 115.86
  4. Step 4: Simplify right side
    197.08x = 34,245.90
  5. Step 5: Solve for x
    x = 34,245.90/197.08
  6. Step 6: Final answer
    x = 173.77

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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.