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Finding the Fourth Proportional to 323.64, 446.63 and 176.28

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Solution

The fourth proportional to 323.64, 446.63 and 176.28 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.64 : 446.63 = 176.28 : x
  2. Step 2: Convert to fraction form
    323.64/446.63 = 176.28/x
  3. Step 3: Cross multiply
    323.64x = 446.63 × 176.28
  4. Step 4: Simplify right side
    323.64x = 78,730.37
  5. Step 5: Solve for x
    x = 78,730.37/323.64
  6. Step 6: Final answer
    x = 243.27

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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.