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Finding the Fourth Proportional to 278.94, 385.05 and 180.85

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Solution

The fourth proportional to 278.94, 385.05 and 180.85 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 385.05 = 180.85 : x
  2. Step 2: Convert to fraction form
    278.94/385.05 = 180.85/x
  3. Step 3: Cross multiply
    278.94x = 385.05 × 180.85
  4. Step 4: Simplify right side
    278.94x = 69,636.29
  5. Step 5: Solve for x
    x = 69,636.29/278.94
  6. Step 6: Final answer
    x = 249.65

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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.