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Finding the Fourth Proportional to 166.14, 229.41 and 127.26

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Solution

The fourth proportional to 166.14, 229.41 and 127.26 is: 175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.14 : 229.41 = 127.26 : x
  2. Step 2: Convert to fraction form
    166.14/229.41 = 127.26/x
  3. Step 3: Cross multiply
    166.14x = 229.41 × 127.26
  4. Step 4: Simplify right side
    166.14x = 29,194.72
  5. Step 5: Solve for x
    x = 29,194.72/166.14
  6. Step 6: Final answer
    x = 175.72

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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.