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Finding the Fourth Proportional to 203.90, 305.98 and 107.78

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Solution

The fourth proportional to 203.90, 305.98 and 107.78 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 305.98 = 107.78 : x
  2. Step 2: Convert to fraction form
    203.90/305.98 = 107.78/x
  3. Step 3: Cross multiply
    203.90x = 305.98 × 107.78
  4. Step 4: Simplify right side
    203.90x = 32,978.52
  5. Step 5: Solve for x
    x = 32,978.52/203.90
  6. Step 6: Final answer
    x = 161.74

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