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Finding the Fourth Proportional to 404.26, 606.54 and 187.78

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Solution

The fourth proportional to 404.26, 606.54 and 187.78 is: 281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.26 : 606.54 = 187.78 : x
  2. Step 2: Convert to fraction form
    404.26/606.54 = 187.78/x
  3. Step 3: Cross multiply
    404.26x = 606.54 × 187.78
  4. Step 4: Simplify right side
    404.26x = 113,896.08
  5. Step 5: Solve for x
    x = 113,896.08/404.26
  6. Step 6: Final answer
    x = 281.74

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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.