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Finding the Fourth Proportional to 264.65, 365.34 and 166.46

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Solution

The fourth proportional to 264.65, 365.34 and 166.46 is: 229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.65 : 365.34 = 166.46 : x
  2. Step 2: Convert to fraction form
    264.65/365.34 = 166.46/x
  3. Step 3: Cross multiply
    264.65x = 365.34 × 166.46
  4. Step 4: Simplify right side
    264.65x = 60,812.67
  5. Step 5: Solve for x
    x = 60,812.67/264.65
  6. Step 6: Final answer
    x = 229.79

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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.