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Finding the Fourth Proportional to 265.90, 366.78 and 196.06

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Solution

The fourth proportional to 265.90, 366.78 and 196.06 is: 270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.90 : 366.78 = 196.06 : x
  2. Step 2: Convert to fraction form
    265.90/366.78 = 196.06/x
  3. Step 3: Cross multiply
    265.90x = 366.78 × 196.06
  4. Step 4: Simplify right side
    265.90x = 71,910.89
  5. Step 5: Solve for x
    x = 71,910.89/265.90
  6. Step 6: Final answer
    x = 270.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.