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Finding the Fourth Proportional to 277.97, 416.72 and 115.77

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Solution

The fourth proportional to 277.97, 416.72 and 115.77 is: 173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 416.72 = 115.77 : x
  2. Step 2: Convert to fraction form
    277.97/416.72 = 115.77/x
  3. Step 3: Cross multiply
    277.97x = 416.72 × 115.77
  4. Step 4: Simplify right side
    277.97x = 48,243.67
  5. Step 5: Solve for x
    x = 48,243.67/277.97
  6. Step 6: Final answer
    x = 173.56

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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.