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Finding the Fourth Proportional to 166.26, 229.47 and 113.91

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Solution

The fourth proportional to 166.26, 229.47 and 113.91 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.26 : 229.47 = 113.91 : x
  2. Step 2: Convert to fraction form
    166.26/229.47 = 113.91/x
  3. Step 3: Cross multiply
    166.26x = 229.47 × 113.91
  4. Step 4: Simplify right side
    166.26x = 26,138.93
  5. Step 5: Solve for x
    x = 26,138.93/166.26
  6. Step 6: Final answer
    x = 157.22

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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.