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Finding the Fourth Proportional to 258.75, 387.96 and 96.42

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Solution

The fourth proportional to 258.75, 387.96 and 96.42 is: 144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.75 : 387.96 = 96.42 : x
  2. Step 2: Convert to fraction form
    258.75/387.96 = 96.42/x
  3. Step 3: Cross multiply
    258.75x = 387.96 × 96.42
  4. Step 4: Simplify right side
    258.75x = 37,407.10
  5. Step 5: Solve for x
    x = 37,407.10/258.75
  6. Step 6: Final answer
    x = 144.57

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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.