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Finding the Fourth Proportional to 258.63, 387.83 and 96.28

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Solution

The fourth proportional to 258.63, 387.83 and 96.28 is: 144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.63 : 387.83 = 96.28 : x
  2. Step 2: Convert to fraction form
    258.63/387.83 = 96.28/x
  3. Step 3: Cross multiply
    258.63x = 387.83 × 96.28
  4. Step 4: Simplify right side
    258.63x = 37,340.27
  5. Step 5: Solve for x
    x = 37,340.27/258.63
  6. Step 6: Final answer
    x = 144.38

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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.