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Finding the Fourth Proportional to 309.56, 464.47 and 104.15

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Solution

The fourth proportional to 309.56, 464.47 and 104.15 is: 156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 464.47 = 104.15 : x
  2. Step 2: Convert to fraction form
    309.56/464.47 = 104.15/x
  3. Step 3: Cross multiply
    309.56x = 464.47 × 104.15
  4. Step 4: Simplify right side
    309.56x = 48,375.45
  5. Step 5: Solve for x
    x = 48,375.45/309.56
  6. Step 6: Final answer
    x = 156.27

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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.