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Finding the Fourth Proportional to 258.54, 357.03 and 196.80

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Solution

The fourth proportional to 258.54, 357.03 and 196.80 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.54 : 357.03 = 196.80 : x
  2. Step 2: Convert to fraction form
    258.54/357.03 = 196.80/x
  3. Step 3: Cross multiply
    258.54x = 357.03 × 196.80
  4. Step 4: Simplify right side
    258.54x = 70,263.50
  5. Step 5: Solve for x
    x = 70,263.50/258.54
  6. Step 6: Final answer
    x = 271.77

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