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Finding the Fourth Proportional to 278.36, 384.06 and 219.96

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Solution

The fourth proportional to 278.36, 384.06 and 219.96 is: 303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 384.06 = 219.96 : x
  2. Step 2: Convert to fraction form
    278.36/384.06 = 219.96/x
  3. Step 3: Cross multiply
    278.36x = 384.06 × 219.96
  4. Step 4: Simplify right side
    278.36x = 84,477.84
  5. Step 5: Solve for x
    x = 84,477.84/278.36
  6. Step 6: Final answer
    x = 303.48

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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.