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Finding the Fourth Proportional to 201.89, 304.21 and 168.41

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Solution

The fourth proportional to 201.89, 304.21 and 168.41 is: 253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 304.21 = 168.41 : x
  2. Step 2: Convert to fraction form
    201.89/304.21 = 168.41/x
  3. Step 3: Cross multiply
    201.89x = 304.21 × 168.41
  4. Step 4: Simplify right side
    201.89x = 51,232.01
  5. Step 5: Solve for x
    x = 51,232.01/201.89
  6. Step 6: Final answer
    x = 253.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.