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Finding the Fourth Proportional to 309.75, 464.35 and 163.55

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Solution

The fourth proportional to 309.75, 464.35 and 163.55 is: 245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.75 : 464.35 = 163.55 : x
  2. Step 2: Convert to fraction form
    309.75/464.35 = 163.55/x
  3. Step 3: Cross multiply
    309.75x = 464.35 × 163.55
  4. Step 4: Simplify right side
    309.75x = 75,944.44
  5. Step 5: Solve for x
    x = 75,944.44/309.75
  6. Step 6: Final answer
    x = 245.18

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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.