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Finding the Fourth Proportional to 209.82, 289.58 and 131.13

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Solution

The fourth proportional to 209.82, 289.58 and 131.13 is: 180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 289.58 = 131.13 : x
  2. Step 2: Convert to fraction form
    209.82/289.58 = 131.13/x
  3. Step 3: Cross multiply
    209.82x = 289.58 × 131.13
  4. Step 4: Simplify right side
    209.82x = 37,971.97
  5. Step 5: Solve for x
    x = 37,971.97/209.82
  6. Step 6: Final answer
    x = 180.97

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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.