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Finding the Fourth Proportional to 205.23, 306.22 and 185.64

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Solution

The fourth proportional to 205.23, 306.22 and 185.64 is: 277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.23 : 306.22 = 185.64 : x
  2. Step 2: Convert to fraction form
    205.23/306.22 = 185.64/x
  3. Step 3: Cross multiply
    205.23x = 306.22 × 185.64
  4. Step 4: Simplify right side
    205.23x = 56,846.68
  5. Step 5: Solve for x
    x = 56,846.68/205.23
  6. Step 6: Final answer
    x = 277.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.