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Finding the Fourth Proportional to 203.89, 305.31 and 180.82

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Solution

The fourth proportional to 203.89, 305.31 and 180.82 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.89 : 305.31 = 180.82 : x
  2. Step 2: Convert to fraction form
    203.89/305.31 = 180.82/x
  3. Step 3: Cross multiply
    203.89x = 305.31 × 180.82
  4. Step 4: Simplify right side
    203.89x = 55,206.15
  5. Step 5: Solve for x
    x = 55,206.15/203.89
  6. Step 6: Final answer
    x = 270.76

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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.