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Finding the Fourth Proportional to 201.71, 301.38 and 197.39

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Solution

The fourth proportional to 201.71, 301.38 and 197.39 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.71 : 301.38 = 197.39 : x
  2. Step 2: Convert to fraction form
    201.71/301.38 = 197.39/x
  3. Step 3: Cross multiply
    201.71x = 301.38 × 197.39
  4. Step 4: Simplify right side
    201.71x = 59,487.89
  5. Step 5: Solve for x
    x = 59,487.89/201.71
  6. Step 6: Final answer
    x = 294.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.