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Finding the Fourth Proportional to 322, 483 and 105.60

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Solution

The fourth proportional to 322, 483 and 105.60 is: 158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 483 = 105.60 : x
  2. Step 2: Convert to fraction form
    322/483 = 105.60/x
  3. Step 3: Cross multiply
    322x = 483 × 105.60
  4. Step 4: Simplify right side
    322x = 51,004.80
  5. Step 5: Solve for x
    x = 51,004.80/322
  6. Step 6: Final answer
    x = 158.40

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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.