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Finding the Fourth Proportional to 269.34, 403.86 and 132.35

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Solution

The fourth proportional to 269.34, 403.86 and 132.35 is: 198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.34 : 403.86 = 132.35 : x
  2. Step 2: Convert to fraction form
    269.34/403.86 = 132.35/x
  3. Step 3: Cross multiply
    269.34x = 403.86 × 132.35
  4. Step 4: Simplify right side
    269.34x = 53,450.87
  5. Step 5: Solve for x
    x = 53,450.87/269.34
  6. Step 6: Final answer
    x = 198.45

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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.