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Finding the Fourth Proportional to 205.59, 284.44 and 197.99

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Solution

The fourth proportional to 205.59, 284.44 and 197.99 is: 273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 284.44 = 197.99 : x
  2. Step 2: Convert to fraction form
    205.59/284.44 = 197.99/x
  3. Step 3: Cross multiply
    205.59x = 284.44 × 197.99
  4. Step 4: Simplify right side
    205.59x = 56,316.84
  5. Step 5: Solve for x
    x = 56,316.84/205.59
  6. Step 6: Final answer
    x = 273.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.