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Finding the Fourth Proportional to 203.88, 306 and 107.76

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Solution

The fourth proportional to 203.88, 306 and 107.76 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.88 : 306 = 107.76 : x
  2. Step 2: Convert to fraction form
    203.88/306 = 107.76/x
  3. Step 3: Cross multiply
    203.88x = 306 × 107.76
  4. Step 4: Simplify right side
    203.88x = 32,974.56
  5. Step 5: Solve for x
    x = 32,974.56/203.88
  6. Step 6: Final answer
    x = 161.74

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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.