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Finding the Fourth Proportional to 201.99, 302.74 and 92.38

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Solution

The fourth proportional to 201.99, 302.74 and 92.38 is: 138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.99 : 302.74 = 92.38 : x
  2. Step 2: Convert to fraction form
    201.99/302.74 = 92.38/x
  3. Step 3: Cross multiply
    201.99x = 302.74 × 92.38
  4. Step 4: Simplify right side
    201.99x = 27,967.12
  5. Step 5: Solve for x
    x = 27,967.12/201.99
  6. Step 6: Final answer
    x = 138.46

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