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Finding the Fourth Proportional to 202.30, 301.83 and 193.29

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Solution

The fourth proportional to 202.30, 301.83 and 193.29 is: 288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 301.83 = 193.29 : x
  2. Step 2: Convert to fraction form
    202.30/301.83 = 193.29/x
  3. Step 3: Cross multiply
    202.30x = 301.83 × 193.29
  4. Step 4: Simplify right side
    202.30x = 58,338.86
  5. Step 5: Solve for x
    x = 58,338.86/202.30
  6. Step 6: Final answer
    x = 288.38

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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.