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Finding the Fourth Proportional to 203.63, 303.77 and 198.05

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Solution

The fourth proportional to 203.63, 303.77 and 198.05 is: 295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.63 : 303.77 = 198.05 : x
  2. Step 2: Convert to fraction form
    203.63/303.77 = 198.05/x
  3. Step 3: Cross multiply
    203.63x = 303.77 × 198.05
  4. Step 4: Simplify right side
    203.63x = 60,159.14
  5. Step 5: Solve for x
    x = 60,159.14/203.63
  6. Step 6: Final answer
    x = 295.44

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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.