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Finding the Fourth Proportional to 228.79, 341.38 and 205.73

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Solution

The fourth proportional to 228.79, 341.38 and 205.73 is: 306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.79 : 341.38 = 205.73 : x
  2. Step 2: Convert to fraction form
    228.79/341.38 = 205.73/x
  3. Step 3: Cross multiply
    228.79x = 341.38 × 205.73
  4. Step 4: Simplify right side
    228.79x = 70,229.37
  5. Step 5: Solve for x
    x = 70,229.37/228.79
  6. Step 6: Final answer
    x = 306.97

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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.