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Finding the Fourth Proportional to 278.97, 384.78 and 213.36

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Solution

The fourth proportional to 278.97, 384.78 and 213.36 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 384.78 = 213.36 : x
  2. Step 2: Convert to fraction form
    278.97/384.78 = 213.36/x
  3. Step 3: Cross multiply
    278.97x = 384.78 × 213.36
  4. Step 4: Simplify right side
    278.97x = 82,096.66
  5. Step 5: Solve for x
    x = 82,096.66/278.97
  6. Step 6: Final answer
    x = 294.28

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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.