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Finding the Fourth Proportional to 269.05, 404.39 and 178.06

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Solution

The fourth proportional to 269.05, 404.39 and 178.06 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.05 : 404.39 = 178.06 : x
  2. Step 2: Convert to fraction form
    269.05/404.39 = 178.06/x
  3. Step 3: Cross multiply
    269.05x = 404.39 × 178.06
  4. Step 4: Simplify right side
    269.05x = 72,005.68
  5. Step 5: Solve for x
    x = 72,005.68/269.05
  6. Step 6: Final answer
    x = 267.63

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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.