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Finding the Fourth Proportional to 322.90, 445.58 and 183.02

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Solution

The fourth proportional to 322.90, 445.58 and 183.02 is: 252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.90 : 445.58 = 183.02 : x
  2. Step 2: Convert to fraction form
    322.90/445.58 = 183.02/x
  3. Step 3: Cross multiply
    322.90x = 445.58 × 183.02
  4. Step 4: Simplify right side
    322.90x = 81,550.05
  5. Step 5: Solve for x
    x = 81,550.05/322.90
  6. Step 6: Final answer
    x = 252.56

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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.