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Finding the Fourth Proportional to 166.21, 229.33 and 129.64

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Solution

The fourth proportional to 166.21, 229.33 and 129.64 is: 178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.21 : 229.33 = 129.64 : x
  2. Step 2: Convert to fraction form
    166.21/229.33 = 129.64/x
  3. Step 3: Cross multiply
    166.21x = 229.33 × 129.64
  4. Step 4: Simplify right side
    166.21x = 29,730.34
  5. Step 5: Solve for x
    x = 29,730.34/166.21
  6. Step 6: Final answer
    x = 178.87

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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.