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Finding the Fourth Proportional to 269.17, 403.83 and 132.19

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Solution

The fourth proportional to 269.17, 403.83 and 132.19 is: 198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.17 : 403.83 = 132.19 : x
  2. Step 2: Convert to fraction form
    269.17/403.83 = 132.19/x
  3. Step 3: Cross multiply
    269.17x = 403.83 × 132.19
  4. Step 4: Simplify right side
    269.17x = 53,381.28
  5. Step 5: Solve for x
    x = 53,381.28/269.17
  6. Step 6: Final answer
    x = 198.32

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Why These Related Problems?

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