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Finding the Fourth Proportional to 269.97, 403.38 and 196.50

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Solution

The fourth proportional to 269.97, 403.38 and 196.50 is: 293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.97 : 403.38 = 196.50 : x
  2. Step 2: Convert to fraction form
    269.97/403.38 = 196.50/x
  3. Step 3: Cross multiply
    269.97x = 403.38 × 196.50
  4. Step 4: Simplify right side
    269.97x = 79,264.17
  5. Step 5: Solve for x
    x = 79,264.17/269.97
  6. Step 6: Final answer
    x = 293.60

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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.