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Finding the Fourth Proportional to 265.73, 366.63 and 160.80

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Solution

The fourth proportional to 265.73, 366.63 and 160.80 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.73 : 366.63 = 160.80 : x
  2. Step 2: Convert to fraction form
    265.73/366.63 = 160.80/x
  3. Step 3: Cross multiply
    265.73x = 366.63 × 160.80
  4. Step 4: Simplify right side
    265.73x = 58,954.10
  5. Step 5: Solve for x
    x = 58,954.10/265.73
  6. Step 6: Final answer
    x = 221.86

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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.