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Finding the Fourth Proportional to 258.93, 388.45 and 96.61

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Solution

The fourth proportional to 258.93, 388.45 and 96.61 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.93 : 388.45 = 96.61 : x
  2. Step 2: Convert to fraction form
    258.93/388.45 = 96.61/x
  3. Step 3: Cross multiply
    258.93x = 388.45 × 96.61
  4. Step 4: Simplify right side
    258.93x = 37,527.49
  5. Step 5: Solve for x
    x = 37,527.49/258.93
  6. Step 6: Final answer
    x = 144.93

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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.