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Finding the Fourth Proportional to 323.22, 445.63 and 212.50

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Solution

The fourth proportional to 323.22, 445.63 and 212.50 is: 292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.22 : 445.63 = 212.50 : x
  2. Step 2: Convert to fraction form
    323.22/445.63 = 212.50/x
  3. Step 3: Cross multiply
    323.22x = 445.63 × 212.50
  4. Step 4: Simplify right side
    323.22x = 94,696.38
  5. Step 5: Solve for x
    x = 94,696.38/323.22
  6. Step 6: Final answer
    x = 292.98

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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.