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Finding the Fourth Proportional to 180.40, 269.17 and 166.68

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Solution

The fourth proportional to 180.40, 269.17 and 166.68 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 269.17 = 166.68 : x
  2. Step 2: Convert to fraction form
    180.40/269.17 = 166.68/x
  3. Step 3: Cross multiply
    180.40x = 269.17 × 166.68
  4. Step 4: Simplify right side
    180.40x = 44,865.26
  5. Step 5: Solve for x
    x = 44,865.26/180.40
  6. Step 6: Final answer
    x = 248.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.