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Finding the Fourth Proportional to 322.28, 444.76 and 182.34

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Solution

The fourth proportional to 322.28, 444.76 and 182.34 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.28 : 444.76 = 182.34 : x
  2. Step 2: Convert to fraction form
    322.28/444.76 = 182.34/x
  3. Step 3: Cross multiply
    322.28x = 444.76 × 182.34
  4. Step 4: Simplify right side
    322.28x = 81,097.08
  5. Step 5: Solve for x
    x = 81,097.08/322.28
  6. Step 6: Final answer
    x = 251.64

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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.