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Finding the Fourth Proportional to 269.57, 403.37 and 230.55

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Solution

The fourth proportional to 269.57, 403.37 and 230.55 is: 344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.57 : 403.37 = 230.55 : x
  2. Step 2: Convert to fraction form
    269.57/403.37 = 230.55/x
  3. Step 3: Cross multiply
    269.57x = 403.37 × 230.55
  4. Step 4: Simplify right side
    269.57x = 92,995.80
  5. Step 5: Solve for x
    x = 92,995.80/269.57
  6. Step 6: Final answer
    x = 344.98

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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.