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Finding the Fourth Proportional to 303.36, 419.20 and 200

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Solution

The fourth proportional to 303.36, 419.20 and 200 is: 276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.36 : 419.20 = 200 : x
  2. Step 2: Convert to fraction form
    303.36/419.20 = 200/x
  3. Step 3: Cross multiply
    303.36x = 419.20 × 200
  4. Step 4: Simplify right side
    303.36x = 83,840
  5. Step 5: Solve for x
    x = 83,840/303.36
  6. Step 6: Final answer
    x = 276.37

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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.