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Finding the Fourth Proportional to 483.25, 725.22 and 194.68

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Solution

The fourth proportional to 483.25, 725.22 and 194.68 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.25 : 725.22 = 194.68 : x
  2. Step 2: Convert to fraction form
    483.25/725.22 = 194.68/x
  3. Step 3: Cross multiply
    483.25x = 725.22 × 194.68
  4. Step 4: Simplify right side
    483.25x = 141,185.83
  5. Step 5: Solve for x
    x = 141,185.83/483.25
  6. Step 6: Final answer
    x = 292.16

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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.