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Finding the Fourth Proportional to 201.16, 277.41 and 193.27

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Solution

The fourth proportional to 201.16, 277.41 and 193.27 is: 266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.16 : 277.41 = 193.27 : x
  2. Step 2: Convert to fraction form
    201.16/277.41 = 193.27/x
  3. Step 3: Cross multiply
    201.16x = 277.41 × 193.27
  4. Step 4: Simplify right side
    201.16x = 53,615.03
  5. Step 5: Solve for x
    x = 53,615.03/201.16
  6. Step 6: Final answer
    x = 266.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.