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Finding the Fourth Proportional to 275.27, 379.71 and 164.66

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Solution

The fourth proportional to 275.27, 379.71 and 164.66 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.27 : 379.71 = 164.66 : x
  2. Step 2: Convert to fraction form
    275.27/379.71 = 164.66/x
  3. Step 3: Cross multiply
    275.27x = 379.71 × 164.66
  4. Step 4: Simplify right side
    275.27x = 62,521.15
  5. Step 5: Solve for x
    x = 62,521.15/275.27
  6. Step 6: Final answer
    x = 227.13

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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.