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Finding the Fourth Proportional to 323.33, 446.24 and 183.50

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Solution

The fourth proportional to 323.33, 446.24 and 183.50 is: 253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.33 : 446.24 = 183.50 : x
  2. Step 2: Convert to fraction form
    323.33/446.24 = 183.50/x
  3. Step 3: Cross multiply
    323.33x = 446.24 × 183.50
  4. Step 4: Simplify right side
    323.33x = 81,885.04
  5. Step 5: Solve for x
    x = 81,885.04/323.33
  6. Step 6: Final answer
    x = 253.26

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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.