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Finding the Fourth Proportional to 278.98, 385.16 and 180.90

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Solution

The fourth proportional to 278.98, 385.16 and 180.90 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.98 : 385.16 = 180.90 : x
  2. Step 2: Convert to fraction form
    278.98/385.16 = 180.90/x
  3. Step 3: Cross multiply
    278.98x = 385.16 × 180.90
  4. Step 4: Simplify right side
    278.98x = 69,675.44
  5. Step 5: Solve for x
    x = 69,675.44/278.98
  6. Step 6: Final answer
    x = 249.75

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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.