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Finding the Fourth Proportional to 323.27, 446.10 and 175.90

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Solution

The fourth proportional to 323.27, 446.10 and 175.90 is: 242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.27 : 446.10 = 175.90 : x
  2. Step 2: Convert to fraction form
    323.27/446.10 = 175.90/x
  3. Step 3: Cross multiply
    323.27x = 446.10 × 175.90
  4. Step 4: Simplify right side
    323.27x = 78,467.87
  5. Step 5: Solve for x
    x = 78,467.87/323.27
  6. Step 6: Final answer
    x = 242.74

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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.