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Finding the Fourth Proportional to 258.84, 388.30 and 112.48

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Solution

The fourth proportional to 258.84, 388.30 and 112.48 is: 168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.84 : 388.30 = 112.48 : x
  2. Step 2: Convert to fraction form
    258.84/388.30 = 112.48/x
  3. Step 3: Cross multiply
    258.84x = 388.30 × 112.48
  4. Step 4: Simplify right side
    258.84x = 43,675.98
  5. Step 5: Solve for x
    x = 43,675.98/258.84
  6. Step 6: Final answer
    x = 168.74

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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.