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Finding the Fourth Proportional to 362.83, 544.22 and 157.55

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Solution

The fourth proportional to 362.83, 544.22 and 157.55 is: 236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.83 : 544.22 = 157.55 : x
  2. Step 2: Convert to fraction form
    362.83/544.22 = 157.55/x
  3. Step 3: Cross multiply
    362.83x = 544.22 × 157.55
  4. Step 4: Simplify right side
    362.83x = 85,738.94
  5. Step 5: Solve for x
    x = 85,738.94/362.83
  6. Step 6: Final answer
    x = 236.31

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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.