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Finding the Fourth Proportional to 265.90, 366.97 and 166.39

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Solution

The fourth proportional to 265.90, 366.97 and 166.39 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.90 : 366.97 = 166.39 : x
  2. Step 2: Convert to fraction form
    265.90/366.97 = 166.39/x
  3. Step 3: Cross multiply
    265.90x = 366.97 × 166.39
  4. Step 4: Simplify right side
    265.90x = 61,057.47
  5. Step 5: Solve for x
    x = 61,057.47/265.90
  6. Step 6: Final answer
    x = 229.63

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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.