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Finding the Fourth Proportional to 180.60, 248.46 and 166.92

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Solution

The fourth proportional to 180.60, 248.46 and 166.92 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.60 : 248.46 = 166.92 : x
  2. Step 2: Convert to fraction form
    180.60/248.46 = 166.92/x
  3. Step 3: Cross multiply
    180.60x = 248.46 × 166.92
  4. Step 4: Simplify right side
    180.60x = 41,472.94
  5. Step 5: Solve for x
    x = 41,472.94/180.60
  6. Step 6: Final answer
    x = 229.64

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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.