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Finding the Fourth Proportional to 209.91, 289.58 and 180.75

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Solution

The fourth proportional to 209.91, 289.58 and 180.75 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.91 : 289.58 = 180.75 : x
  2. Step 2: Convert to fraction form
    209.91/289.58 = 180.75/x
  3. Step 3: Cross multiply
    209.91x = 289.58 × 180.75
  4. Step 4: Simplify right side
    209.91x = 52,340.68
  5. Step 5: Solve for x
    x = 52,340.68/209.91
  6. Step 6: Final answer
    x = 249.35

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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.