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Finding the Fourth Proportional to 323.52, 446.45 and 183.64

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Solution

The fourth proportional to 323.52, 446.45 and 183.64 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.52 : 446.45 = 183.64 : x
  2. Step 2: Convert to fraction form
    323.52/446.45 = 183.64/x
  3. Step 3: Cross multiply
    323.52x = 446.45 × 183.64
  4. Step 4: Simplify right side
    323.52x = 81,986.08
  5. Step 5: Solve for x
    x = 81,986.08/323.52
  6. Step 6: Final answer
    x = 253.42

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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.