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Finding the Fourth Proportional to 166.21, 229.09 and 129.32

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Solution

The fourth proportional to 166.21, 229.09 and 129.32 is: 178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.21 : 229.09 = 129.32 : x
  2. Step 2: Convert to fraction form
    166.21/229.09 = 129.32/x
  3. Step 3: Cross multiply
    166.21x = 229.09 × 129.32
  4. Step 4: Simplify right side
    166.21x = 29,625.92
  5. Step 5: Solve for x
    x = 29,625.92/166.21
  6. Step 6: Final answer
    x = 178.24

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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.