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Finding the Fourth Proportional to 278.44, 384.07 and 180.27

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Solution

The fourth proportional to 278.44, 384.07 and 180.27 is: 248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 384.07 = 180.27 : x
  2. Step 2: Convert to fraction form
    278.44/384.07 = 180.27/x
  3. Step 3: Cross multiply
    278.44x = 384.07 × 180.27
  4. Step 4: Simplify right side
    278.44x = 69,236.30
  5. Step 5: Solve for x
    x = 69,236.30/278.44
  6. Step 6: Final answer
    x = 248.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.