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Finding the Fourth Proportional to 209.70, 289.41 and 202.98

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Solution

The fourth proportional to 209.70, 289.41 and 202.98 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.70 : 289.41 = 202.98 : x
  2. Step 2: Convert to fraction form
    209.70/289.41 = 202.98/x
  3. Step 3: Cross multiply
    209.70x = 289.41 × 202.98
  4. Step 4: Simplify right side
    209.70x = 58,744.44
  5. Step 5: Solve for x
    x = 58,744.44/209.70
  6. Step 6: Final answer
    x = 280.14

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Why These Related Problems?

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