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Finding the Fourth Proportional to 304.18, 419.91 and 199.42

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Solution

The fourth proportional to 304.18, 419.91 and 199.42 is: 275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.18 : 419.91 = 199.42 : x
  2. Step 2: Convert to fraction form
    304.18/419.91 = 199.42/x
  3. Step 3: Cross multiply
    304.18x = 419.91 × 199.42
  4. Step 4: Simplify right side
    304.18x = 83,738.45
  5. Step 5: Solve for x
    x = 83,738.45/304.18
  6. Step 6: Final answer
    x = 275.29

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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.