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Finding the Fourth Proportional to 323.30, 446.17 and 175.94

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Solution

The fourth proportional to 323.30, 446.17 and 175.94 is: 242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.30 : 446.17 = 175.94 : x
  2. Step 2: Convert to fraction form
    323.30/446.17 = 175.94/x
  3. Step 3: Cross multiply
    323.30x = 446.17 × 175.94
  4. Step 4: Simplify right side
    323.30x = 78,499.39
  5. Step 5: Solve for x
    x = 78,499.39/323.30
  6. Step 6: Final answer
    x = 242.80

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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.