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Finding the Fourth Proportional to 265.47, 366.17 and 161.97

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Solution

The fourth proportional to 265.47, 366.17 and 161.97 is: 223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.47 : 366.17 = 161.97 : x
  2. Step 2: Convert to fraction form
    265.47/366.17 = 161.97/x
  3. Step 3: Cross multiply
    265.47x = 366.17 × 161.97
  4. Step 4: Simplify right side
    265.47x = 59,308.55
  5. Step 5: Solve for x
    x = 59,308.55/265.47
  6. Step 6: Final answer
    x = 223.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.