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Finding the Fourth Proportional to 209.94, 289.68 and 182.52

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Solution

The fourth proportional to 209.94, 289.68 and 182.52 is: 251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 289.68 = 182.52 : x
  2. Step 2: Convert to fraction form
    209.94/289.68 = 182.52/x
  3. Step 3: Cross multiply
    209.94x = 289.68 × 182.52
  4. Step 4: Simplify right side
    209.94x = 52,872.39
  5. Step 5: Solve for x
    x = 52,872.39/209.94
  6. Step 6: Final answer
    x = 251.85

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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.