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Finding the Fourth Proportional to 209.98, 289.80 and 203.60

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Solution

The fourth proportional to 209.98, 289.80 and 203.60 is: 280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 289.80 = 203.60 : x
  2. Step 2: Convert to fraction form
    209.98/289.80 = 203.60/x
  3. Step 3: Cross multiply
    209.98x = 289.80 × 203.60
  4. Step 4: Simplify right side
    209.98x = 59,003.28
  5. Step 5: Solve for x
    x = 59,003.28/209.98
  6. Step 6: Final answer
    x = 280.99

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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.