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Finding the Fourth Proportional to 202.42, 303.56 and 80.66

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Solution

The fourth proportional to 202.42, 303.56 and 80.66 is: 120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.42 : 303.56 = 80.66 : x
  2. Step 2: Convert to fraction form
    202.42/303.56 = 80.66/x
  3. Step 3: Cross multiply
    202.42x = 303.56 × 80.66
  4. Step 4: Simplify right side
    202.42x = 24,485.15
  5. Step 5: Solve for x
    x = 24,485.15/202.42
  6. Step 6: Final answer
    x = 120.96

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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.