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Finding the Fourth Proportional to 231.71, 346.95 and 201.33

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Solution

The fourth proportional to 231.71, 346.95 and 201.33 is: 301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.71 : 346.95 = 201.33 : x
  2. Step 2: Convert to fraction form
    231.71/346.95 = 201.33/x
  3. Step 3: Cross multiply
    231.71x = 346.95 × 201.33
  4. Step 4: Simplify right side
    231.71x = 69,851.44
  5. Step 5: Solve for x
    x = 69,851.44/231.71
  6. Step 6: Final answer
    x = 301.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.