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Finding the Fourth Proportional to 305.45, 421.19 and 194.75

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Solution

The fourth proportional to 305.45, 421.19 and 194.75 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.45 : 421.19 = 194.75 : x
  2. Step 2: Convert to fraction form
    305.45/421.19 = 194.75/x
  3. Step 3: Cross multiply
    305.45x = 421.19 × 194.75
  4. Step 4: Simplify right side
    305.45x = 82,025.78
  5. Step 5: Solve for x
    x = 82,025.78/305.45
  6. Step 6: Final answer
    x = 268.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.