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Finding the Fourth Proportional to 164.61, 227.27 and 127.71

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Solution

The fourth proportional to 164.61, 227.27 and 127.71 is: 176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 227.27 = 127.71 : x
  2. Step 2: Convert to fraction form
    164.61/227.27 = 127.71/x
  3. Step 3: Cross multiply
    164.61x = 227.27 × 127.71
  4. Step 4: Simplify right side
    164.61x = 29,024.97
  5. Step 5: Solve for x
    x = 29,024.97/164.61
  6. Step 6: Final answer
    x = 176.33

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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.