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Finding the Fourth Proportional to 281.88, 388.80 and 258.80

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Solution

The fourth proportional to 281.88, 388.80 and 258.80 is: 356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.88 : 388.80 = 258.80 : x
  2. Step 2: Convert to fraction form
    281.88/388.80 = 258.80/x
  3. Step 3: Cross multiply
    281.88x = 388.80 × 258.80
  4. Step 4: Simplify right side
    281.88x = 100,619.50
  5. Step 5: Solve for x
    x = 100,619.50/281.88
  6. Step 6: Final answer
    x = 356.96

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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.