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Finding the Fourth Proportional to 321.94, 482.96 and 105.47

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Solution

The fourth proportional to 321.94, 482.96 and 105.47 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.94 : 482.96 = 105.47 : x
  2. Step 2: Convert to fraction form
    321.94/482.96 = 105.47/x
  3. Step 3: Cross multiply
    321.94x = 482.96 × 105.47
  4. Step 4: Simplify right side
    321.94x = 50,937.45
  5. Step 5: Solve for x
    x = 50,937.45/321.94
  6. Step 6: Final answer
    x = 158.22

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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.