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Finding the Fourth Proportional to 195.40, 269.40 and 166.24

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Solution

The fourth proportional to 195.40, 269.40 and 166.24 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.40 : 269.40 = 166.24 : x
  2. Step 2: Convert to fraction form
    195.40/269.40 = 166.24/x
  3. Step 3: Cross multiply
    195.40x = 269.40 × 166.24
  4. Step 4: Simplify right side
    195.40x = 44,785.06
  5. Step 5: Solve for x
    x = 44,785.06/195.40
  6. Step 6: Final answer
    x = 229.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.