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Finding the Fourth Proportional to 209.09, 313.63 and 87.26

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Solution

The fourth proportional to 209.09, 313.63 and 87.26 is: 130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.09 : 313.63 = 87.26 : x
  2. Step 2: Convert to fraction form
    209.09/313.63 = 87.26/x
  3. Step 3: Cross multiply
    209.09x = 313.63 × 87.26
  4. Step 4: Simplify right side
    209.09x = 27,367.92
  5. Step 5: Solve for x
    x = 27,367.92/209.09
  6. Step 6: Final answer
    x = 130.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.