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Finding the Fourth Proportional to 203.21, 280.25 and 137.60

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Solution

The fourth proportional to 203.21, 280.25 and 137.60 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.21 : 280.25 = 137.60 : x
  2. Step 2: Convert to fraction form
    203.21/280.25 = 137.60/x
  3. Step 3: Cross multiply
    203.21x = 280.25 × 137.60
  4. Step 4: Simplify right side
    203.21x = 38,560.31
  5. Step 5: Solve for x
    x = 38,560.31/203.21
  6. Step 6: Final answer
    x = 189.76

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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.