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Finding the Fourth Proportional to 199.94, 301.70 and 192.44

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Solution

The fourth proportional to 199.94, 301.70 and 192.44 is: 290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.94 : 301.70 = 192.44 : x
  2. Step 2: Convert to fraction form
    199.94/301.70 = 192.44/x
  3. Step 3: Cross multiply
    199.94x = 301.70 × 192.44
  4. Step 4: Simplify right side
    199.94x = 58,058.19
  5. Step 5: Solve for x
    x = 58,058.19/199.94
  6. Step 6: Final answer
    x = 290.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.