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Finding the Fourth Proportional to 269.54, 403.82 and 177.74

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Solution

The fourth proportional to 269.54, 403.82 and 177.74 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.54 : 403.82 = 177.74 : x
  2. Step 2: Convert to fraction form
    269.54/403.82 = 177.74/x
  3. Step 3: Cross multiply
    269.54x = 403.82 × 177.74
  4. Step 4: Simplify right side
    269.54x = 71,774.97
  5. Step 5: Solve for x
    x = 71,774.97/269.54
  6. Step 6: Final answer
    x = 266.29

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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.