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Finding the Fourth Proportional to 197.64, 295.90 and 168.75

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Solution

The fourth proportional to 197.64, 295.90 and 168.75 is: 252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 295.90 = 168.75 : x
  2. Step 2: Convert to fraction form
    197.64/295.90 = 168.75/x
  3. Step 3: Cross multiply
    197.64x = 295.90 × 168.75
  4. Step 4: Simplify right side
    197.64x = 49,933.13
  5. Step 5: Solve for x
    x = 49,933.13/197.64
  6. Step 6: Final answer
    x = 252.65

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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.