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Finding the Fourth Proportional to 304.23, 419.83 and 198

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Solution

The fourth proportional to 304.23, 419.83 and 198 is: 273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.23 : 419.83 = 198 : x
  2. Step 2: Convert to fraction form
    304.23/419.83 = 198/x
  3. Step 3: Cross multiply
    304.23x = 419.83 × 198
  4. Step 4: Simplify right side
    304.23x = 83,126.34
  5. Step 5: Solve for x
    x = 83,126.34/304.23
  6. Step 6: Final answer
    x = 273.24

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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.