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Finding the Fourth Proportional to 323.32, 446.16 and 212.72

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Solution

The fourth proportional to 323.32, 446.16 and 212.72 is: 293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 446.16 = 212.72 : x
  2. Step 2: Convert to fraction form
    323.32/446.16 = 212.72/x
  3. Step 3: Cross multiply
    323.32x = 446.16 × 212.72
  4. Step 4: Simplify right side
    323.32x = 94,907.16
  5. Step 5: Solve for x
    x = 94,907.16/323.32
  6. Step 6: Final answer
    x = 293.54

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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.