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Finding the Fourth Proportional to 324.50, 486.82 and 105.19

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Solution

The fourth proportional to 324.50, 486.82 and 105.19 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 486.82 = 105.19 : x
  2. Step 2: Convert to fraction form
    324.50/486.82 = 105.19/x
  3. Step 3: Cross multiply
    324.50x = 486.82 × 105.19
  4. Step 4: Simplify right side
    324.50x = 51,206.60
  5. Step 5: Solve for x
    x = 51,206.60/324.50
  6. Step 6: Final answer
    x = 157.80

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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.