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Finding the Fourth Proportional to 201.86, 278.67 and 118.99

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Solution

The fourth proportional to 201.86, 278.67 and 118.99 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.86 : 278.67 = 118.99 : x
  2. Step 2: Convert to fraction form
    201.86/278.67 = 118.99/x
  3. Step 3: Cross multiply
    201.86x = 278.67 × 118.99
  4. Step 4: Simplify right side
    201.86x = 33,160.27
  5. Step 5: Solve for x
    x = 33,160.27/201.86
  6. Step 6: Final answer
    x = 164.27

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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.