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Finding the Fourth Proportional to 277.25, 415.61 and 185.97

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Solution

The fourth proportional to 277.25, 415.61 and 185.97 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 415.61 = 185.97 : x
  2. Step 2: Convert to fraction form
    277.25/415.61 = 185.97/x
  3. Step 3: Cross multiply
    277.25x = 415.61 × 185.97
  4. Step 4: Simplify right side
    277.25x = 77,290.63
  5. Step 5: Solve for x
    x = 77,290.63/277.25
  6. Step 6: Final answer
    x = 278.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.