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Finding the Fourth Proportional to 321.64, 482.44 and 105.22

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Solution

The fourth proportional to 321.64, 482.44 and 105.22 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.64 : 482.44 = 105.22 : x
  2. Step 2: Convert to fraction form
    321.64/482.44 = 105.22/x
  3. Step 3: Cross multiply
    321.64x = 482.44 × 105.22
  4. Step 4: Simplify right side
    321.64x = 50,762.34
  5. Step 5: Solve for x
    x = 50,762.34/321.64
  6. Step 6: Final answer
    x = 157.82

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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.