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Finding the Fourth Proportional to 201.09, 299.75 and 193.20

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Solution

The fourth proportional to 201.09, 299.75 and 193.20 is: 287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.09 : 299.75 = 193.20 : x
  2. Step 2: Convert to fraction form
    201.09/299.75 = 193.20/x
  3. Step 3: Cross multiply
    201.09x = 299.75 × 193.20
  4. Step 4: Simplify right side
    201.09x = 57,911.70
  5. Step 5: Solve for x
    x = 57,911.70/201.09
  6. Step 6: Final answer
    x = 287.99

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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.