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Finding the Fourth Proportional to 278.56, 384.33 and 180.43

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Solution

The fourth proportional to 278.56, 384.33 and 180.43 is: 248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 384.33 = 180.43 : x
  2. Step 2: Convert to fraction form
    278.56/384.33 = 180.43/x
  3. Step 3: Cross multiply
    278.56x = 384.33 × 180.43
  4. Step 4: Simplify right side
    278.56x = 69,344.66
  5. Step 5: Solve for x
    x = 69,344.66/278.56
  6. Step 6: Final answer
    x = 248.94

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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.