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Finding the Fourth Proportional to 203.94, 305.76 and 95.67

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Solution

The fourth proportional to 203.94, 305.76 and 95.67 is: 143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 305.76 = 95.67 : x
  2. Step 2: Convert to fraction form
    203.94/305.76 = 95.67/x
  3. Step 3: Cross multiply
    203.94x = 305.76 × 95.67
  4. Step 4: Simplify right side
    203.94x = 29,250.05
  5. Step 5: Solve for x
    x = 29,250.05/203.94
  6. Step 6: Final answer
    x = 143.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.