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Finding the Fourth Proportional to 166.98, 230.47 and 111.81

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Solution

The fourth proportional to 166.98, 230.47 and 111.81 is: 154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.98 : 230.47 = 111.81 : x
  2. Step 2: Convert to fraction form
    166.98/230.47 = 111.81/x
  3. Step 3: Cross multiply
    166.98x = 230.47 × 111.81
  4. Step 4: Simplify right side
    166.98x = 25,768.57
  5. Step 5: Solve for x
    x = 25,768.57/166.98
  6. Step 6: Final answer
    x = 154.32

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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.