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Finding the Fourth Proportional to 309.74, 464.12 and 163.48

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Solution

The fourth proportional to 309.74, 464.12 and 163.48 is: 244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 464.12 = 163.48 : x
  2. Step 2: Convert to fraction form
    309.74/464.12 = 163.48/x
  3. Step 3: Cross multiply
    309.74x = 464.12 × 163.48
  4. Step 4: Simplify right side
    309.74x = 75,875.26
  5. Step 5: Solve for x
    x = 75,875.26/309.74
  6. Step 6: Final answer
    x = 244.97

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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.