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Finding the Fourth Proportional to 269.82, 403.94 and 235.98

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Solution

The fourth proportional to 269.82, 403.94 and 235.98 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.82 : 403.94 = 235.98 : x
  2. Step 2: Convert to fraction form
    269.82/403.94 = 235.98/x
  3. Step 3: Cross multiply
    269.82x = 403.94 × 235.98
  4. Step 4: Simplify right side
    269.82x = 95,322.35
  5. Step 5: Solve for x
    x = 95,322.35/269.82
  6. Step 6: Final answer
    x = 353.28

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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.