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Finding the Fourth Proportional to 323.26, 446.09 and 175.89

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Solution

The fourth proportional to 323.26, 446.09 and 175.89 is: 242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.26 : 446.09 = 175.89 : x
  2. Step 2: Convert to fraction form
    323.26/446.09 = 175.89/x
  3. Step 3: Cross multiply
    323.26x = 446.09 × 175.89
  4. Step 4: Simplify right side
    323.26x = 78,461.89
  5. Step 5: Solve for x
    x = 78,461.89/323.26
  6. Step 6: Final answer
    x = 242.72

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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.