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Finding the Fourth Proportional to 322.14, 444.53 and 189.36

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Solution

The fourth proportional to 322.14, 444.53 and 189.36 is: 261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.14 : 444.53 = 189.36 : x
  2. Step 2: Convert to fraction form
    322.14/444.53 = 189.36/x
  3. Step 3: Cross multiply
    322.14x = 444.53 × 189.36
  4. Step 4: Simplify right side
    322.14x = 84,177.30
  5. Step 5: Solve for x
    x = 84,177.30/322.14
  6. Step 6: Final answer
    x = 261.31

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