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Finding the Fourth Proportional to 203.90, 303.61 and 200.99

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Solution

The fourth proportional to 203.90, 303.61 and 200.99 is: 299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 303.61 = 200.99 : x
  2. Step 2: Convert to fraction form
    203.90/303.61 = 200.99/x
  3. Step 3: Cross multiply
    203.90x = 303.61 × 200.99
  4. Step 4: Simplify right side
    203.90x = 61,021.31
  5. Step 5: Solve for x
    x = 61,021.31/203.90
  6. Step 6: Final answer
    x = 299.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.