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Finding the Fourth Proportional to 304.22, 419.73 and 173.21

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Solution

The fourth proportional to 304.22, 419.73 and 173.21 is: 238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.22 : 419.73 = 173.21 : x
  2. Step 2: Convert to fraction form
    304.22/419.73 = 173.21/x
  3. Step 3: Cross multiply
    304.22x = 419.73 × 173.21
  4. Step 4: Simplify right side
    304.22x = 72,698.69
  5. Step 5: Solve for x
    x = 72,698.69/304.22
  6. Step 6: Final answer
    x = 238.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.