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Finding the Fourth Proportional to 269.48, 403.84 and 159.82

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Solution

The fourth proportional to 269.48, 403.84 and 159.82 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.48 : 403.84 = 159.82 : x
  2. Step 2: Convert to fraction form
    269.48/403.84 = 159.82/x
  3. Step 3: Cross multiply
    269.48x = 403.84 × 159.82
  4. Step 4: Simplify right side
    269.48x = 64,540.90
  5. Step 5: Solve for x
    x = 64,540.90/269.48
  6. Step 6: Final answer
    x = 239.50

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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.