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Finding the Fourth Proportional to 269.21, 403.46 and 132.29

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Solution

The fourth proportional to 269.21, 403.46 and 132.29 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.21 : 403.46 = 132.29 : x
  2. Step 2: Convert to fraction form
    269.21/403.46 = 132.29/x
  3. Step 3: Cross multiply
    269.21x = 403.46 × 132.29
  4. Step 4: Simplify right side
    269.21x = 53,374.93
  5. Step 5: Solve for x
    x = 53,374.93/269.21
  6. Step 6: Final answer
    x = 198.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.