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Finding the Fourth Proportional to 209.52, 289.04 and 144.09

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Solution

The fourth proportional to 209.52, 289.04 and 144.09 is: 198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 289.04 = 144.09 : x
  2. Step 2: Convert to fraction form
    209.52/289.04 = 144.09/x
  3. Step 3: Cross multiply
    209.52x = 289.04 × 144.09
  4. Step 4: Simplify right side
    209.52x = 41,647.05
  5. Step 5: Solve for x
    x = 41,647.05/209.52
  6. Step 6: Final answer
    x = 198.77

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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.