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Finding the Fourth Proportional to 166.06, 229.06 and 154.33

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Solution

The fourth proportional to 166.06, 229.06 and 154.33 is: 212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.06 : 229.06 = 154.33 : x
  2. Step 2: Convert to fraction form
    166.06/229.06 = 154.33/x
  3. Step 3: Cross multiply
    166.06x = 229.06 × 154.33
  4. Step 4: Simplify right side
    166.06x = 35,349.87
  5. Step 5: Solve for x
    x = 35,349.87/166.06
  6. Step 6: Final answer
    x = 212.88

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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.