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Finding the Fourth Proportional to 209.25, 313.82 and 87.54

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Solution

The fourth proportional to 209.25, 313.82 and 87.54 is: 131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 313.82 = 87.54 : x
  2. Step 2: Convert to fraction form
    209.25/313.82 = 87.54/x
  3. Step 3: Cross multiply
    209.25x = 313.82 × 87.54
  4. Step 4: Simplify right side
    209.25x = 27,471.37
  5. Step 5: Solve for x
    x = 27,471.37/209.25
  6. Step 6: Final answer
    x = 131.28

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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.