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Finding the Fourth Proportional to 199.83, 297.18 and 197.73

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Solution

The fourth proportional to 199.83, 297.18 and 197.73 is: 294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.83 : 297.18 = 197.73 : x
  2. Step 2: Convert to fraction form
    199.83/297.18 = 197.73/x
  3. Step 3: Cross multiply
    199.83x = 297.18 × 197.73
  4. Step 4: Simplify right side
    199.83x = 58,761.40
  5. Step 5: Solve for x
    x = 58,761.40/199.83
  6. Step 6: Final answer
    x = 294.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.