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Finding the Fourth Proportional to 205.80, 283.28 and 197.84

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Solution

The fourth proportional to 205.80, 283.28 and 197.84 is: 272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 283.28 = 197.84 : x
  2. Step 2: Convert to fraction form
    205.80/283.28 = 197.84/x
  3. Step 3: Cross multiply
    205.80x = 283.28 × 197.84
  4. Step 4: Simplify right side
    205.80x = 56,041.71
  5. Step 5: Solve for x
    x = 56,041.71/205.80
  6. Step 6: Final answer
    x = 272.31

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