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Finding the Fourth Proportional to 264.56, 365.26 and 166.42

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Solution

The fourth proportional to 264.56, 365.26 and 166.42 is: 229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.56 : 365.26 = 166.42 : x
  2. Step 2: Convert to fraction form
    264.56/365.26 = 166.42/x
  3. Step 3: Cross multiply
    264.56x = 365.26 × 166.42
  4. Step 4: Simplify right side
    264.56x = 60,786.57
  5. Step 5: Solve for x
    x = 60,786.57/264.56
  6. Step 6: Final answer
    x = 229.76

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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.