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Finding the Fourth Proportional to 201.72, 278.37 and 118.78

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Solution

The fourth proportional to 201.72, 278.37 and 118.78 is: 163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 278.37 = 118.78 : x
  2. Step 2: Convert to fraction form
    201.72/278.37 = 118.78/x
  3. Step 3: Cross multiply
    201.72x = 278.37 × 118.78
  4. Step 4: Simplify right side
    201.72x = 33,064.79
  5. Step 5: Solve for x
    x = 33,064.79/201.72
  6. Step 6: Final answer
    x = 163.91

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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.