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Finding the Fourth Proportional to 222.48, 332.97 and 213.96

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Solution

The fourth proportional to 222.48, 332.97 and 213.96 is: 320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.48 : 332.97 = 213.96 : x
  2. Step 2: Convert to fraction form
    222.48/332.97 = 213.96/x
  3. Step 3: Cross multiply
    222.48x = 332.97 × 213.96
  4. Step 4: Simplify right side
    222.48x = 71,242.26
  5. Step 5: Solve for x
    x = 71,242.26/222.48
  6. Step 6: Final answer
    x = 320.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.