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Finding the Fourth Proportional to 322.69, 445.31 and 175.33

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Solution

The fourth proportional to 322.69, 445.31 and 175.33 is: 241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.69 : 445.31 = 175.33 : x
  2. Step 2: Convert to fraction form
    322.69/445.31 = 175.33/x
  3. Step 3: Cross multiply
    322.69x = 445.31 × 175.33
  4. Step 4: Simplify right side
    322.69x = 78,076.20
  5. Step 5: Solve for x
    x = 78,076.20/322.69
  6. Step 6: Final answer
    x = 241.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.