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Finding the Fourth Proportional to 201.11, 277.54 and 118.28

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Solution

The fourth proportional to 201.11, 277.54 and 118.28 is: 163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.11 : 277.54 = 118.28 : x
  2. Step 2: Convert to fraction form
    201.11/277.54 = 118.28/x
  3. Step 3: Cross multiply
    201.11x = 277.54 × 118.28
  4. Step 4: Simplify right side
    201.11x = 32,825.45
  5. Step 5: Solve for x
    x = 32,825.45/201.11
  6. Step 6: Final answer
    x = 163.22

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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.