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Finding the Fourth Proportional to 202.38, 303.03 and 161.96

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Solution

The fourth proportional to 202.38, 303.03 and 161.96 is: 242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.38 : 303.03 = 161.96 : x
  2. Step 2: Convert to fraction form
    202.38/303.03 = 161.96/x
  3. Step 3: Cross multiply
    202.38x = 303.03 × 161.96
  4. Step 4: Simplify right side
    202.38x = 49,077.22
  5. Step 5: Solve for x
    x = 49,077.22/202.38
  6. Step 6: Final answer
    x = 242.50

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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.