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Finding the Fourth Proportional to 203.74, 305.34 and 131.44

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Solution

The fourth proportional to 203.74, 305.34 and 131.44 is: 196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.74 : 305.34 = 131.44 : x
  2. Step 2: Convert to fraction form
    203.74/305.34 = 131.44/x
  3. Step 3: Cross multiply
    203.74x = 305.34 × 131.44
  4. Step 4: Simplify right side
    203.74x = 40,133.89
  5. Step 5: Solve for x
    x = 40,133.89/203.74
  6. Step 6: Final answer
    x = 196.99

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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.