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Finding the Fourth Proportional to 278.97, 384.69 and 180.75

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Solution

The fourth proportional to 278.97, 384.69 and 180.75 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.97 : 384.69 = 180.75 : x
  2. Step 2: Convert to fraction form
    278.97/384.69 = 180.75/x
  3. Step 3: Cross multiply
    278.97x = 384.69 × 180.75
  4. Step 4: Simplify right side
    278.97x = 69,532.72
  5. Step 5: Solve for x
    x = 69,532.72/278.97
  6. Step 6: Final answer
    x = 249.25

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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.