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Finding the Fourth Proportional to 201.36, 278.07 and 168.21

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Solution

The fourth proportional to 201.36, 278.07 and 168.21 is: 232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 278.07 = 168.21 : x
  2. Step 2: Convert to fraction form
    201.36/278.07 = 168.21/x
  3. Step 3: Cross multiply
    201.36x = 278.07 × 168.21
  4. Step 4: Simplify right side
    201.36x = 46,774.15
  5. Step 5: Solve for x
    x = 46,774.15/201.36
  6. Step 6: Final answer
    x = 232.29

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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.