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Finding the Fourth Proportional to 275.25, 412.78 and 197.55

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Solution

The fourth proportional to 275.25, 412.78 and 197.55 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.25 : 412.78 = 197.55 : x
  2. Step 2: Convert to fraction form
    275.25/412.78 = 197.55/x
  3. Step 3: Cross multiply
    275.25x = 412.78 × 197.55
  4. Step 4: Simplify right side
    275.25x = 81,544.69
  5. Step 5: Solve for x
    x = 81,544.69/275.25
  6. Step 6: Final answer
    x = 296.26

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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.