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Finding the Fourth Proportional to 278.92, 384.78 and 173.94

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Solution

The fourth proportional to 278.92, 384.78 and 173.94 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.92 : 384.78 = 173.94 : x
  2. Step 2: Convert to fraction form
    278.92/384.78 = 173.94/x
  3. Step 3: Cross multiply
    278.92x = 384.78 × 173.94
  4. Step 4: Simplify right side
    278.92x = 66,928.63
  5. Step 5: Solve for x
    x = 66,928.63/278.92
  6. Step 6: Final answer
    x = 239.96

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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.