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Finding the Fourth Proportional to 205.02, 284.33 and 197.73

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Solution

The fourth proportional to 205.02, 284.33 and 197.73 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 284.33 = 197.73 : x
  2. Step 2: Convert to fraction form
    205.02/284.33 = 197.73/x
  3. Step 3: Cross multiply
    205.02x = 284.33 × 197.73
  4. Step 4: Simplify right side
    205.02x = 56,219.58
  5. Step 5: Solve for x
    x = 56,219.58/205.02
  6. Step 6: Final answer
    x = 274.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.