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Finding the Fourth Proportional to 166.36, 229.23 and 133.48

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Solution

The fourth proportional to 166.36, 229.23 and 133.48 is: 183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 229.23 = 133.48 : x
  2. Step 2: Convert to fraction form
    166.36/229.23 = 133.48/x
  3. Step 3: Cross multiply
    166.36x = 229.23 × 133.48
  4. Step 4: Simplify right side
    166.36x = 30,597.62
  5. Step 5: Solve for x
    x = 30,597.62/166.36
  6. Step 6: Final answer
    x = 183.92

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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.