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Finding the Fourth Proportional to 322.79, 445.46 and 182.90

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Solution

The fourth proportional to 322.79, 445.46 and 182.90 is: 252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 445.46 = 182.90 : x
  2. Step 2: Convert to fraction form
    322.79/445.46 = 182.90/x
  3. Step 3: Cross multiply
    322.79x = 445.46 × 182.90
  4. Step 4: Simplify right side
    322.79x = 81,474.83
  5. Step 5: Solve for x
    x = 81,474.83/322.79
  6. Step 6: Final answer
    x = 252.41

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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.