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Finding the Fourth Proportional to 201.71, 278.39 and 114.41

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Solution

The fourth proportional to 201.71, 278.39 and 114.41 is: 157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.71 : 278.39 = 114.41 : x
  2. Step 2: Convert to fraction form
    201.71/278.39 = 114.41/x
  3. Step 3: Cross multiply
    201.71x = 278.39 × 114.41
  4. Step 4: Simplify right side
    201.71x = 31,850.03
  5. Step 5: Solve for x
    x = 31,850.03/201.71
  6. Step 6: Final answer
    x = 157.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.