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Finding the Fourth Proportional to 202.13, 303.02 and 92.33

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Solution

The fourth proportional to 202.13, 303.02 and 92.33 is: 138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 303.02 = 92.33 : x
  2. Step 2: Convert to fraction form
    202.13/303.02 = 92.33/x
  3. Step 3: Cross multiply
    202.13x = 303.02 × 92.33
  4. Step 4: Simplify right side
    202.13x = 27,977.37
  5. Step 5: Solve for x
    x = 27,977.37/202.13
  6. Step 6: Final answer
    x = 138.41

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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.