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Finding the Fourth Proportional to 323.60, 446.56 and 176.23

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Solution

The fourth proportional to 323.60, 446.56 and 176.23 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.60 : 446.56 = 176.23 : x
  2. Step 2: Convert to fraction form
    323.60/446.56 = 176.23/x
  3. Step 3: Cross multiply
    323.60x = 446.56 × 176.23
  4. Step 4: Simplify right side
    323.60x = 78,697.27
  5. Step 5: Solve for x
    x = 78,697.27/323.60
  6. Step 6: Final answer
    x = 243.19

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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.