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Finding the Fourth Proportional to 408.78, 613.19 and 177.50

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Solution

The fourth proportional to 408.78, 613.19 and 177.50 is: 266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.78 : 613.19 = 177.50 : x
  2. Step 2: Convert to fraction form
    408.78/613.19 = 177.50/x
  3. Step 3: Cross multiply
    408.78x = 613.19 × 177.50
  4. Step 4: Simplify right side
    408.78x = 108,841.23
  5. Step 5: Solve for x
    x = 108,841.23/408.78
  6. Step 6: Final answer
    x = 266.26

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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.