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Finding the Fourth Proportional to 203.67, 280.80 and 199.35

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Solution

The fourth proportional to 203.67, 280.80 and 199.35 is: 274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.67 : 280.80 = 199.35 : x
  2. Step 2: Convert to fraction form
    203.67/280.80 = 199.35/x
  3. Step 3: Cross multiply
    203.67x = 280.80 × 199.35
  4. Step 4: Simplify right side
    203.67x = 55,977.48
  5. Step 5: Solve for x
    x = 55,977.48/203.67
  6. Step 6: Final answer
    x = 274.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.