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Finding the Fourth Proportional to 309.78, 464.60 and 187.88

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Solution

The fourth proportional to 309.78, 464.60 and 187.88 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.78 : 464.60 = 187.88 : x
  2. Step 2: Convert to fraction form
    309.78/464.60 = 187.88/x
  3. Step 3: Cross multiply
    309.78x = 464.60 × 187.88
  4. Step 4: Simplify right side
    309.78x = 87,289.05
  5. Step 5: Solve for x
    x = 87,289.05/309.78
  6. Step 6: Final answer
    x = 281.78

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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.