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Finding the Fourth Proportional to 258.69, 388.05 and 96.38

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Solution

The fourth proportional to 258.69, 388.05 and 96.38 is: 144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.69 : 388.05 = 96.38 : x
  2. Step 2: Convert to fraction form
    258.69/388.05 = 96.38/x
  3. Step 3: Cross multiply
    258.69x = 388.05 × 96.38
  4. Step 4: Simplify right side
    258.69x = 37,400.26
  5. Step 5: Solve for x
    x = 37,400.26/258.69
  6. Step 6: Final answer
    x = 144.58

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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.