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Finding the Fourth Proportional to 322.12, 483.25 and 105.69

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Solution

The fourth proportional to 322.12, 483.25 and 105.69 is: 158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 483.25 = 105.69 : x
  2. Step 2: Convert to fraction form
    322.12/483.25 = 105.69/x
  3. Step 3: Cross multiply
    322.12x = 483.25 × 105.69
  4. Step 4: Simplify right side
    322.12x = 51,074.69
  5. Step 5: Solve for x
    x = 51,074.69/322.12
  6. Step 6: Final answer
    x = 158.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.