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Finding the Fourth Proportional to 202.61, 303.81 and 77.44

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Solution

The fourth proportional to 202.61, 303.81 and 77.44 is: 116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.61 : 303.81 = 77.44 : x
  2. Step 2: Convert to fraction form
    202.61/303.81 = 77.44/x
  3. Step 3: Cross multiply
    202.61x = 303.81 × 77.44
  4. Step 4: Simplify right side
    202.61x = 23,527.05
  5. Step 5: Solve for x
    x = 23,527.05/202.61
  6. Step 6: Final answer
    x = 116.12

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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.