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Finding the Fourth Proportional to 304.11, 419.81 and 199.26

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Solution

The fourth proportional to 304.11, 419.81 and 199.26 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.11 : 419.81 = 199.26 : x
  2. Step 2: Convert to fraction form
    304.11/419.81 = 199.26/x
  3. Step 3: Cross multiply
    304.11x = 419.81 × 199.26
  4. Step 4: Simplify right side
    304.11x = 83,650.34
  5. Step 5: Solve for x
    x = 83,650.34/304.11
  6. Step 6: Final answer
    x = 275.07

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