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Finding the Fourth Proportional to 166.49, 229.82 and 111.21

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Solution

The fourth proportional to 166.49, 229.82 and 111.21 is: 153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.49 : 229.82 = 111.21 : x
  2. Step 2: Convert to fraction form
    166.49/229.82 = 111.21/x
  3. Step 3: Cross multiply
    166.49x = 229.82 × 111.21
  4. Step 4: Simplify right side
    166.49x = 25,558.28
  5. Step 5: Solve for x
    x = 25,558.28/166.49
  6. Step 6: Final answer
    x = 153.51

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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.