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Finding the Fourth Proportional to 323.78, 446.89 and 183.98

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Solution

The fourth proportional to 323.78, 446.89 and 183.98 is: 253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.78 : 446.89 = 183.98 : x
  2. Step 2: Convert to fraction form
    323.78/446.89 = 183.98/x
  3. Step 3: Cross multiply
    323.78x = 446.89 × 183.98
  4. Step 4: Simplify right side
    323.78x = 82,216.13
  5. Step 5: Solve for x
    x = 82,216.13/323.78
  6. Step 6: Final answer
    x = 253.93

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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.