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Finding the Fourth Proportional to 209.52, 289.56 and 198.56

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Solution

The fourth proportional to 209.52, 289.56 and 198.56 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 289.56 = 198.56 : x
  2. Step 2: Convert to fraction form
    209.52/289.56 = 198.56/x
  3. Step 3: Cross multiply
    209.52x = 289.56 × 198.56
  4. Step 4: Simplify right side
    209.52x = 57,495.03
  5. Step 5: Solve for x
    x = 57,495.03/209.52
  6. Step 6: Final answer
    x = 274.41

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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.