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Finding the Fourth Proportional to 215.98, 324.07 and 107.84

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Solution

The fourth proportional to 215.98, 324.07 and 107.84 is: 161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.98 : 324.07 = 107.84 : x
  2. Step 2: Convert to fraction form
    215.98/324.07 = 107.84/x
  3. Step 3: Cross multiply
    215.98x = 324.07 × 107.84
  4. Step 4: Simplify right side
    215.98x = 34,947.71
  5. Step 5: Solve for x
    x = 34,947.71/215.98
  6. Step 6: Final answer
    x = 161.81

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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.