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Finding the Fourth Proportional to 322.54, 445.07 and 184.54

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Solution

The fourth proportional to 322.54, 445.07 and 184.54 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.54 : 445.07 = 184.54 : x
  2. Step 2: Convert to fraction form
    322.54/445.07 = 184.54/x
  3. Step 3: Cross multiply
    322.54x = 445.07 × 184.54
  4. Step 4: Simplify right side
    322.54x = 82,133.22
  5. Step 5: Solve for x
    x = 82,133.22/322.54
  6. Step 6: Final answer
    x = 254.65

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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.