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Finding the Fourth Proportional to 258.98, 388.59 and 177.68

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Solution

The fourth proportional to 258.98, 388.59 and 177.68 is: 266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.98 : 388.59 = 177.68 : x
  2. Step 2: Convert to fraction form
    258.98/388.59 = 177.68/x
  3. Step 3: Cross multiply
    258.98x = 388.59 × 177.68
  4. Step 4: Simplify right side
    258.98x = 69,042.73
  5. Step 5: Solve for x
    x = 69,042.73/258.98
  6. Step 6: Final answer
    x = 266.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.