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Finding the Fourth Proportional to 277.01, 416.97 and 196.41

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Solution

The fourth proportional to 277.01, 416.97 and 196.41 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.01 : 416.97 = 196.41 : x
  2. Step 2: Convert to fraction form
    277.01/416.97 = 196.41/x
  3. Step 3: Cross multiply
    277.01x = 416.97 × 196.41
  4. Step 4: Simplify right side
    277.01x = 81,897.08
  5. Step 5: Solve for x
    x = 81,897.08/277.01
  6. Step 6: Final answer
    x = 295.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.