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Finding the Fourth Proportional to 303.82, 419.16 and 199.05

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Solution

The fourth proportional to 303.82, 419.16 and 199.05 is: 274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.82 : 419.16 = 199.05 : x
  2. Step 2: Convert to fraction form
    303.82/419.16 = 199.05/x
  3. Step 3: Cross multiply
    303.82x = 419.16 × 199.05
  4. Step 4: Simplify right side
    303.82x = 83,433.80
  5. Step 5: Solve for x
    x = 83,433.80/303.82
  6. Step 6: Final answer
    x = 274.62

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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.