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Finding the Fourth Proportional to 265.10, 365.61 and 166.68

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Solution

The fourth proportional to 265.10, 365.61 and 166.68 is: 229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.10 : 365.61 = 166.68 : x
  2. Step 2: Convert to fraction form
    265.10/365.61 = 166.68/x
  3. Step 3: Cross multiply
    265.10x = 365.61 × 166.68
  4. Step 4: Simplify right side
    265.10x = 60,940.50
  5. Step 5: Solve for x
    x = 60,940.50/265.10
  6. Step 6: Final answer
    x = 229.88

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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.