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Finding the Fourth Proportional to 322.23, 444.68 and 189.54

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Solution

The fourth proportional to 322.23, 444.68 and 189.54 is: 261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.23 : 444.68 = 189.54 : x
  2. Step 2: Convert to fraction form
    322.23/444.68 = 189.54/x
  3. Step 3: Cross multiply
    322.23x = 444.68 × 189.54
  4. Step 4: Simplify right side
    322.23x = 84,284.41
  5. Step 5: Solve for x
    x = 84,284.41/322.23
  6. Step 6: Final answer
    x = 261.56

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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.