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Finding the Fourth Proportional to 323.63, 446.62 and 176.26

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Solution

The fourth proportional to 323.63, 446.62 and 176.26 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.63 : 446.62 = 176.26 : x
  2. Step 2: Convert to fraction form
    323.63/446.62 = 176.26/x
  3. Step 3: Cross multiply
    323.63x = 446.62 × 176.26
  4. Step 4: Simplify right side
    323.63x = 78,722.76
  5. Step 5: Solve for x
    x = 78,722.76/323.63
  6. Step 6: Final answer
    x = 243.25

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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.