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Finding the Fourth Proportional to 205.66, 306.68 and 203.84

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Solution

The fourth proportional to 205.66, 306.68 and 203.84 is: 303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.66 : 306.68 = 203.84 : x
  2. Step 2: Convert to fraction form
    205.66/306.68 = 203.84/x
  3. Step 3: Cross multiply
    205.66x = 306.68 × 203.84
  4. Step 4: Simplify right side
    205.66x = 62,513.65
  5. Step 5: Solve for x
    x = 62,513.65/205.66
  6. Step 6: Final answer
    x = 303.97

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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.