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Finding the Fourth Proportional to 304.41, 419.97 and 180.09

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Solution

The fourth proportional to 304.41, 419.97 and 180.09 is: 248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.41 : 419.97 = 180.09 : x
  2. Step 2: Convert to fraction form
    304.41/419.97 = 180.09/x
  3. Step 3: Cross multiply
    304.41x = 419.97 × 180.09
  4. Step 4: Simplify right side
    304.41x = 75,632.40
  5. Step 5: Solve for x
    x = 75,632.40/304.41
  6. Step 6: Final answer
    x = 248.46

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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.