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Finding the Fourth Proportional to 199.67, 297.27 and 197.24

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Solution

The fourth proportional to 199.67, 297.27 and 197.24 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.67 : 297.27 = 197.24 : x
  2. Step 2: Convert to fraction form
    199.67/297.27 = 197.24/x
  3. Step 3: Cross multiply
    199.67x = 297.27 × 197.24
  4. Step 4: Simplify right side
    199.67x = 58,632.05
  5. Step 5: Solve for x
    x = 58,632.05/199.67
  6. Step 6: Final answer
    x = 293.65

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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.