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Finding the Fourth Proportional to 205.54, 309.69 and 183.43

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Solution

The fourth proportional to 205.54, 309.69 and 183.43 is: 276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.54 : 309.69 = 183.43 : x
  2. Step 2: Convert to fraction form
    205.54/309.69 = 183.43/x
  3. Step 3: Cross multiply
    205.54x = 309.69 × 183.43
  4. Step 4: Simplify right side
    205.54x = 56,806.44
  5. Step 5: Solve for x
    x = 56,806.44/205.54
  6. Step 6: Final answer
    x = 276.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.