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Finding the Fourth Proportional to 201.14, 277.45 and 127.33

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Solution

The fourth proportional to 201.14, 277.45 and 127.33 is: 175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.14 : 277.45 = 127.33 : x
  2. Step 2: Convert to fraction form
    201.14/277.45 = 127.33/x
  3. Step 3: Cross multiply
    201.14x = 277.45 × 127.33
  4. Step 4: Simplify right side
    201.14x = 35,328.21
  5. Step 5: Solve for x
    x = 35,328.21/201.14
  6. Step 6: Final answer
    x = 175.64

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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.