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Finding the Fourth Proportional to 222.31, 331.57 and 215.65

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Solution

The fourth proportional to 222.31, 331.57 and 215.65 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.31 : 331.57 = 215.65 : x
  2. Step 2: Convert to fraction form
    222.31/331.57 = 215.65/x
  3. Step 3: Cross multiply
    222.31x = 331.57 × 215.65
  4. Step 4: Simplify right side
    222.31x = 71,503.07
  5. Step 5: Solve for x
    x = 71,503.07/222.31
  6. Step 6: Final answer
    x = 321.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.