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Finding the Fourth Proportional to 205.17, 281.46 and 199.01

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Solution

The fourth proportional to 205.17, 281.46 and 199.01 is: 273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.17 : 281.46 = 199.01 : x
  2. Step 2: Convert to fraction form
    205.17/281.46 = 199.01/x
  3. Step 3: Cross multiply
    205.17x = 281.46 × 199.01
  4. Step 4: Simplify right side
    205.17x = 56,011.95
  5. Step 5: Solve for x
    x = 56,011.95/205.17
  6. Step 6: Final answer
    x = 273.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.