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Finding the Fourth Proportional to 205.20, 281.58 and 186.71

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Solution

The fourth proportional to 205.20, 281.58 and 186.71 is: 256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 281.58 = 186.71 : x
  2. Step 2: Convert to fraction form
    205.20/281.58 = 186.71/x
  3. Step 3: Cross multiply
    205.20x = 281.58 × 186.71
  4. Step 4: Simplify right side
    205.20x = 52,571.69
  5. Step 5: Solve for x
    x = 52,571.69/205.20
  6. Step 6: Final answer
    x = 256.20

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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.