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Finding the Fourth Proportional to 269, 403.68 and 98

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Solution

The fourth proportional to 269, 403.68 and 98 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    269 : 403.68 = 98 : x
  2. Step 2: Convert to fraction form
    269/403.68 = 98/x
  3. Step 3: Cross multiply
    269x = 403.68 × 98
  4. Step 4: Simplify right side
    269x = 39,560.64
  5. Step 5: Solve for x
    x = 39,560.64/269
  6. Step 6: Final answer
    x = 147.07

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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.