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Finding the Fourth Proportional to 277.25, 415.73 and 114.85

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Solution

The fourth proportional to 277.25, 415.73 and 114.85 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 415.73 = 114.85 : x
  2. Step 2: Convert to fraction form
    277.25/415.73 = 114.85/x
  3. Step 3: Cross multiply
    277.25x = 415.73 × 114.85
  4. Step 4: Simplify right side
    277.25x = 47,745.26
  5. Step 5: Solve for x
    x = 47,745.26/277.25
  6. Step 6: Final answer
    x = 172.21

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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.