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Finding the Fourth Proportional to 201.05, 277.17 and 127.33

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Solution

The fourth proportional to 201.05, 277.17 and 127.33 is: 175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.05 : 277.17 = 127.33 : x
  2. Step 2: Convert to fraction form
    201.05/277.17 = 127.33/x
  3. Step 3: Cross multiply
    201.05x = 277.17 × 127.33
  4. Step 4: Simplify right side
    201.05x = 35,292.06
  5. Step 5: Solve for x
    x = 35,292.06/201.05
  6. Step 6: Final answer
    x = 175.54

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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.