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Finding the Fourth Proportional to 278.78, 384.72 and 185.48

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Solution

The fourth proportional to 278.78, 384.72 and 185.48 is: 255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.78 : 384.72 = 185.48 : x
  2. Step 2: Convert to fraction form
    278.78/384.72 = 185.48/x
  3. Step 3: Cross multiply
    278.78x = 384.72 × 185.48
  4. Step 4: Simplify right side
    278.78x = 71,357.87
  5. Step 5: Solve for x
    x = 71,357.87/278.78
  6. Step 6: Final answer
    x = 255.96

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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.