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Finding the Fourth Proportional to 201.71, 302.68 and 133.27

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Solution

The fourth proportional to 201.71, 302.68 and 133.27 is: 199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.71 : 302.68 = 133.27 : x
  2. Step 2: Convert to fraction form
    201.71/302.68 = 133.27/x
  3. Step 3: Cross multiply
    201.71x = 302.68 × 133.27
  4. Step 4: Simplify right side
    201.71x = 40,336.65
  5. Step 5: Solve for x
    x = 40,336.65/201.71
  6. Step 6: Final answer
    x = 199.97

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Why These Related Problems?

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