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Finding the Fourth Proportional to 201.75, 302.41 and 92.06

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Solution

The fourth proportional to 201.75, 302.41 and 92.06 is: 137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 302.41 = 92.06 : x
  2. Step 2: Convert to fraction form
    201.75/302.41 = 92.06/x
  3. Step 3: Cross multiply
    201.75x = 302.41 × 92.06
  4. Step 4: Simplify right side
    201.75x = 27,839.86
  5. Step 5: Solve for x
    x = 27,839.86/201.75
  6. Step 6: Final answer
    x = 137.99

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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.