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Finding the Fourth Proportional to 278.71, 384.14 and 219.54

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Solution

The fourth proportional to 278.71, 384.14 and 219.54 is: 302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 384.14 = 219.54 : x
  2. Step 2: Convert to fraction form
    278.71/384.14 = 219.54/x
  3. Step 3: Cross multiply
    278.71x = 384.14 × 219.54
  4. Step 4: Simplify right side
    278.71x = 84,336.08
  5. Step 5: Solve for x
    x = 84,336.08/278.71
  6. Step 6: Final answer
    x = 302.60

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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.