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Finding the Fourth Proportional to 225.24, 335.46 and 222.42

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Solution

The fourth proportional to 225.24, 335.46 and 222.42 is: 331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.24 : 335.46 = 222.42 : x
  2. Step 2: Convert to fraction form
    225.24/335.46 = 222.42/x
  3. Step 3: Cross multiply
    225.24x = 335.46 × 222.42
  4. Step 4: Simplify right side
    225.24x = 74,613.01
  5. Step 5: Solve for x
    x = 74,613.01/225.24
  6. Step 6: Final answer
    x = 331.26

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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.