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Finding the Fourth Proportional to 258.93, 388.49 and 96.66

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Solution

The fourth proportional to 258.93, 388.49 and 96.66 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.93 : 388.49 = 96.66 : x
  2. Step 2: Convert to fraction form
    258.93/388.49 = 96.66/x
  3. Step 3: Cross multiply
    258.93x = 388.49 × 96.66
  4. Step 4: Simplify right side
    258.93x = 37,550.96
  5. Step 5: Solve for x
    x = 37,550.96/258.93
  6. Step 6: Final answer
    x = 145.02

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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.