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Finding the Fourth Proportional to 258.80, 357.78 and 196.94

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Solution

The fourth proportional to 258.80, 357.78 and 196.94 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.80 : 357.78 = 196.94 : x
  2. Step 2: Convert to fraction form
    258.80/357.78 = 196.94/x
  3. Step 3: Cross multiply
    258.80x = 357.78 × 196.94
  4. Step 4: Simplify right side
    258.80x = 70,461.19
  5. Step 5: Solve for x
    x = 70,461.19/258.80
  6. Step 6: Final answer
    x = 272.26

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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.