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Finding the Fourth Proportional to 303.90, 419.28 and 199.05

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Solution

The fourth proportional to 303.90, 419.28 and 199.05 is: 274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.90 : 419.28 = 199.05 : x
  2. Step 2: Convert to fraction form
    303.90/419.28 = 199.05/x
  3. Step 3: Cross multiply
    303.90x = 419.28 × 199.05
  4. Step 4: Simplify right side
    303.90x = 83,457.68
  5. Step 5: Solve for x
    x = 83,457.68/303.90
  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.