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Finding the Fourth Proportional to 269.90, 404.94 and 178.82

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Solution

The fourth proportional to 269.90, 404.94 and 178.82 is: 268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.90 : 404.94 = 178.82 : x
  2. Step 2: Convert to fraction form
    269.90/404.94 = 178.82/x
  3. Step 3: Cross multiply
    269.90x = 404.94 × 178.82
  4. Step 4: Simplify right side
    269.90x = 72,411.37
  5. Step 5: Solve for x
    x = 72,411.37/269.90
  6. Step 6: Final answer
    x = 268.29

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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.