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Finding the Fourth Proportional to 277.22, 415.97 and 184.73

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Solution

The fourth proportional to 277.22, 415.97 and 184.73 is: 277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 415.97 = 184.73 : x
  2. Step 2: Convert to fraction form
    277.22/415.97 = 184.73/x
  3. Step 3: Cross multiply
    277.22x = 415.97 × 184.73
  4. Step 4: Simplify right side
    277.22x = 76,839.13
  5. Step 5: Solve for x
    x = 76,839.13/277.22
  6. Step 6: Final answer
    x = 277.18

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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.