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Finding the Fourth Proportional to 321.67, 482.37 and 105.13

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Solution

The fourth proportional to 321.67, 482.37 and 105.13 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.67 : 482.37 = 105.13 : x
  2. Step 2: Convert to fraction form
    321.67/482.37 = 105.13/x
  3. Step 3: Cross multiply
    321.67x = 482.37 × 105.13
  4. Step 4: Simplify right side
    321.67x = 50,711.56
  5. Step 5: Solve for x
    x = 50,711.56/321.67
  6. Step 6: Final answer
    x = 157.65

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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.