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Finding the Fourth Proportional to 202.38, 303 and 190.05

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Solution

The fourth proportional to 202.38, 303 and 190.05 is: 284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.38 : 303 = 190.05 : x
  2. Step 2: Convert to fraction form
    202.38/303 = 190.05/x
  3. Step 3: Cross multiply
    202.38x = 303 × 190.05
  4. Step 4: Simplify right side
    202.38x = 57,585.15
  5. Step 5: Solve for x
    x = 57,585.15/202.38
  6. Step 6: Final answer
    x = 284.54

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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.