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Finding the Fourth Proportional to 293.64, 440.07 and 163.34

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Solution

The fourth proportional to 293.64, 440.07 and 163.34 is: 244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 440.07 = 163.34 : x
  2. Step 2: Convert to fraction form
    293.64/440.07 = 163.34/x
  3. Step 3: Cross multiply
    293.64x = 440.07 × 163.34
  4. Step 4: Simplify right side
    293.64x = 71,881.03
  5. Step 5: Solve for x
    x = 71,881.03/293.64
  6. Step 6: Final answer
    x = 244.79

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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.