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Finding the Fourth Proportional to 323.62, 446.59 and 176.24

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Solution

The fourth proportional to 323.62, 446.59 and 176.24 is: 243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.62 : 446.59 = 176.24 : x
  2. Step 2: Convert to fraction form
    323.62/446.59 = 176.24/x
  3. Step 3: Cross multiply
    323.62x = 446.59 × 176.24
  4. Step 4: Simplify right side
    323.62x = 78,707.02
  5. Step 5: Solve for x
    x = 78,707.02/323.62
  6. Step 6: Final answer
    x = 243.21

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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.