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Finding the Fourth Proportional to 166.97, 230.36 and 132.01

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Solution

The fourth proportional to 166.97, 230.36 and 132.01 is: 182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 230.36 = 132.01 : x
  2. Step 2: Convert to fraction form
    166.97/230.36 = 132.01/x
  3. Step 3: Cross multiply
    166.97x = 230.36 × 132.01
  4. Step 4: Simplify right side
    166.97x = 30,409.58
  5. Step 5: Solve for x
    x = 30,409.58/166.97
  6. Step 6: Final answer
    x = 182.12

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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.