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Finding the Fourth Proportional to 323.90, 446.96 and 184.02

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Solution

The fourth proportional to 323.90, 446.96 and 184.02 is: 253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.90 : 446.96 = 184.02 : x
  2. Step 2: Convert to fraction form
    323.90/446.96 = 184.02/x
  3. Step 3: Cross multiply
    323.90x = 446.96 × 184.02
  4. Step 4: Simplify right side
    323.90x = 82,249.58
  5. Step 5: Solve for x
    x = 82,249.58/323.90
  6. Step 6: Final answer
    x = 253.94

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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.