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Finding the Fourth Proportional to 258.78, 388.22 and 83.10

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Solution

The fourth proportional to 258.78, 388.22 and 83.10 is: 124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.78 : 388.22 = 83.10 : x
  2. Step 2: Convert to fraction form
    258.78/388.22 = 83.10/x
  3. Step 3: Cross multiply
    258.78x = 388.22 × 83.10
  4. Step 4: Simplify right side
    258.78x = 32,260.67
  5. Step 5: Solve for x
    x = 32,260.67/258.78
  6. Step 6: Final answer
    x = 124.66

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Why These Related Problems?

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