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Finding the Fourth Proportional to 323.45, 446.34 and 176.08

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Solution

The fourth proportional to 323.45, 446.34 and 176.08 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.45 : 446.34 = 176.08 : x
  2. Step 2: Convert to fraction form
    323.45/446.34 = 176.08/x
  3. Step 3: Cross multiply
    323.45x = 446.34 × 176.08
  4. Step 4: Simplify right side
    323.45x = 78,591.44
  5. Step 5: Solve for x
    x = 78,591.44/323.45
  6. Step 6: Final answer
    x = 242.98

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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.