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Finding the Fourth Proportional to 258.89, 388.32 and 96.75

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Solution

The fourth proportional to 258.89, 388.32 and 96.75 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.89 : 388.32 = 96.75 : x
  2. Step 2: Convert to fraction form
    258.89/388.32 = 96.75/x
  3. Step 3: Cross multiply
    258.89x = 388.32 × 96.75
  4. Step 4: Simplify right side
    258.89x = 37,569.96
  5. Step 5: Solve for x
    x = 37,569.96/258.89
  6. Step 6: Final answer
    x = 145.12

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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.