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Finding the Fourth Proportional to 203.82, 303.94 and 192.70

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Solution

The fourth proportional to 203.82, 303.94 and 192.70 is: 287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.82 : 303.94 = 192.70 : x
  2. Step 2: Convert to fraction form
    203.82/303.94 = 192.70/x
  3. Step 3: Cross multiply
    203.82x = 303.94 × 192.70
  4. Step 4: Simplify right side
    203.82x = 58,569.24
  5. Step 5: Solve for x
    x = 58,569.24/203.82
  6. Step 6: Final answer
    x = 287.36

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