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Finding the Fourth Proportional to 264.67, 365.31 and 166.46

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Solution

The fourth proportional to 264.67, 365.31 and 166.46 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.67 : 365.31 = 166.46 : x
  2. Step 2: Convert to fraction form
    264.67/365.31 = 166.46/x
  3. Step 3: Cross multiply
    264.67x = 365.31 × 166.46
  4. Step 4: Simplify right side
    264.67x = 60,807.68
  5. Step 5: Solve for x
    x = 60,807.68/264.67
  6. Step 6: Final answer
    x = 229.75

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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.