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Finding the Fourth Proportional to 201.07, 299.59 and 192.22

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Solution

The fourth proportional to 201.07, 299.59 and 192.22 is: 286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.07 : 299.59 = 192.22 : x
  2. Step 2: Convert to fraction form
    201.07/299.59 = 192.22/x
  3. Step 3: Cross multiply
    201.07x = 299.59 × 192.22
  4. Step 4: Simplify right side
    201.07x = 57,588.73
  5. Step 5: Solve for x
    x = 57,588.73/201.07
  6. Step 6: Final answer
    x = 286.41

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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.