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Finding the Fourth Proportional to 277.53, 416.37 and 131.27

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Solution

The fourth proportional to 277.53, 416.37 and 131.27 is: 196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.53 : 416.37 = 131.27 : x
  2. Step 2: Convert to fraction form
    277.53/416.37 = 131.27/x
  3. Step 3: Cross multiply
    277.53x = 416.37 × 131.27
  4. Step 4: Simplify right side
    277.53x = 54,656.53
  5. Step 5: Solve for x
    x = 54,656.53/277.53
  6. Step 6: Final answer
    x = 196.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.