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Finding the Fourth Proportional to 322.50, 445.02 and 212.06

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Solution

The fourth proportional to 322.50, 445.02 and 212.06 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 445.02 = 212.06 : x
  2. Step 2: Convert to fraction form
    322.50/445.02 = 212.06/x
  3. Step 3: Cross multiply
    322.50x = 445.02 × 212.06
  4. Step 4: Simplify right side
    322.50x = 94,370.94
  5. Step 5: Solve for x
    x = 94,370.94/322.50
  6. Step 6: Final answer
    x = 292.62

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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.