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Finding the Fourth Proportional to 309.63, 464.16 and 163.35

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Solution

The fourth proportional to 309.63, 464.16 and 163.35 is: 244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.63 : 464.16 = 163.35 : x
  2. Step 2: Convert to fraction form
    309.63/464.16 = 163.35/x
  3. Step 3: Cross multiply
    309.63x = 464.16 × 163.35
  4. Step 4: Simplify right side
    309.63x = 75,820.54
  5. Step 5: Solve for x
    x = 75,820.54/309.63
  6. Step 6: Final answer
    x = 244.87

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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.