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Finding the Fourth Proportional to 199.71, 297.33 and 197.55

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Solution

The fourth proportional to 199.71, 297.33 and 197.55 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.71 : 297.33 = 197.55 : x
  2. Step 2: Convert to fraction form
    199.71/297.33 = 197.55/x
  3. Step 3: Cross multiply
    199.71x = 297.33 × 197.55
  4. Step 4: Simplify right side
    199.71x = 58,737.54
  5. Step 5: Solve for x
    x = 58,737.54/199.71
  6. Step 6: Final answer
    x = 294.11

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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.