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Finding the Fourth Proportional to 275.17, 379.38 and 164.61

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Solution

The fourth proportional to 275.17, 379.38 and 164.61 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.17 : 379.38 = 164.61 : x
  2. Step 2: Convert to fraction form
    275.17/379.38 = 164.61/x
  3. Step 3: Cross multiply
    275.17x = 379.38 × 164.61
  4. Step 4: Simplify right side
    275.17x = 62,449.74
  5. Step 5: Solve for x
    x = 62,449.74/275.17
  6. Step 6: Final answer
    x = 226.95

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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.