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Finding the Fourth Proportional to 278.91, 384.41 and 204.12

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Solution

The fourth proportional to 278.91, 384.41 and 204.12 is: 281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.91 : 384.41 = 204.12 : x
  2. Step 2: Convert to fraction form
    278.91/384.41 = 204.12/x
  3. Step 3: Cross multiply
    278.91x = 384.41 × 204.12
  4. Step 4: Simplify right side
    278.91x = 78,466.28
  5. Step 5: Solve for x
    x = 78,466.28/278.91
  6. Step 6: Final answer
    x = 281.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.