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Finding the Fourth Proportional to 203.90, 305.94 and 194.31

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Solution

The fourth proportional to 203.90, 305.94 and 194.31 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 305.94 = 194.31 : x
  2. Step 2: Convert to fraction form
    203.90/305.94 = 194.31/x
  3. Step 3: Cross multiply
    203.90x = 305.94 × 194.31
  4. Step 4: Simplify right side
    203.90x = 59,447.20
  5. Step 5: Solve for x
    x = 59,447.20/203.90
  6. Step 6: Final answer
    x = 291.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.