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Finding the Fourth Proportional to 277.85, 416.42 and 131.41

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Solution

The fourth proportional to 277.85, 416.42 and 131.41 is: 196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.85 : 416.42 = 131.41 : x
  2. Step 2: Convert to fraction form
    277.85/416.42 = 131.41/x
  3. Step 3: Cross multiply
    277.85x = 416.42 × 131.41
  4. Step 4: Simplify right side
    277.85x = 54,720.05
  5. Step 5: Solve for x
    x = 54,720.05/277.85
  6. Step 6: Final answer
    x = 196.94

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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.