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Finding the Fourth Proportional to 278.44, 384.04 and 180.12

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Solution

The fourth proportional to 278.44, 384.04 and 180.12 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 384.04 = 180.12 : x
  2. Step 2: Convert to fraction form
    278.44/384.04 = 180.12/x
  3. Step 3: Cross multiply
    278.44x = 384.04 × 180.12
  4. Step 4: Simplify right side
    278.44x = 69,173.28
  5. Step 5: Solve for x
    x = 69,173.28/278.44
  6. Step 6: Final answer
    x = 248.43

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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.