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Finding the Fourth Proportional to 324.15, 486.15 and 107.67

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Solution

The fourth proportional to 324.15, 486.15 and 107.67 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.15 : 486.15 = 107.67 : x
  2. Step 2: Convert to fraction form
    324.15/486.15 = 107.67/x
  3. Step 3: Cross multiply
    324.15x = 486.15 × 107.67
  4. Step 4: Simplify right side
    324.15x = 52,343.77
  5. Step 5: Solve for x
    x = 52,343.77/324.15
  6. Step 6: Final answer
    x = 161.48

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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.