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Finding the Fourth Proportional to 204.37, 304.89 and 198.79

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Solution

The fourth proportional to 204.37, 304.89 and 198.79 is: 296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.37 : 304.89 = 198.79 : x
  2. Step 2: Convert to fraction form
    204.37/304.89 = 198.79/x
  3. Step 3: Cross multiply
    204.37x = 304.89 × 198.79
  4. Step 4: Simplify right side
    204.37x = 60,609.08
  5. Step 5: Solve for x
    x = 60,609.08/204.37
  6. Step 6: Final answer
    x = 296.57

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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.