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Finding the Fourth Proportional to 264.80, 365.31 and 166.61

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Solution

The fourth proportional to 264.80, 365.31 and 166.61 is: 229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 365.31 = 166.61 : x
  2. Step 2: Convert to fraction form
    264.80/365.31 = 166.61/x
  3. Step 3: Cross multiply
    264.80x = 365.31 × 166.61
  4. Step 4: Simplify right side
    264.80x = 60,864.30
  5. Step 5: Solve for x
    x = 60,864.30/264.80
  6. Step 6: Final answer
    x = 229.85

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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.