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Finding the Fourth Proportional to 258.43, 387.70 and 96.11

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Solution

The fourth proportional to 258.43, 387.70 and 96.11 is: 144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.43 : 387.70 = 96.11 : x
  2. Step 2: Convert to fraction form
    258.43/387.70 = 96.11/x
  3. Step 3: Cross multiply
    258.43x = 387.70 × 96.11
  4. Step 4: Simplify right side
    258.43x = 37,261.85
  5. Step 5: Solve for x
    x = 37,261.85/258.43
  6. Step 6: Final answer
    x = 144.19

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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.