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Finding the Fourth Proportional to 483.97, 725.78 and 159.25

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Solution

The fourth proportional to 483.97, 725.78 and 159.25 is: 238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.97 : 725.78 = 159.25 : x
  2. Step 2: Convert to fraction form
    483.97/725.78 = 159.25/x
  3. Step 3: Cross multiply
    483.97x = 725.78 × 159.25
  4. Step 4: Simplify right side
    483.97x = 115,580.47
  5. Step 5: Solve for x
    x = 115,580.47/483.97
  6. Step 6: Final answer
    x = 238.82

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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.