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Finding the Fourth Proportional to 197.80, 297.12 and 191.32

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Solution

The fourth proportional to 197.80, 297.12 and 191.32 is: 287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.80 : 297.12 = 191.32 : x
  2. Step 2: Convert to fraction form
    197.80/297.12 = 191.32/x
  3. Step 3: Cross multiply
    197.80x = 297.12 × 191.32
  4. Step 4: Simplify right side
    197.80x = 56,845.00
  5. Step 5: Solve for x
    x = 56,845.00/197.80
  6. Step 6: Final answer
    x = 287.39

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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.