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Finding the Fourth Proportional to 362.10, 499.69 and 196.31

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Solution

The fourth proportional to 362.10, 499.69 and 196.31 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 499.69 = 196.31 : x
  2. Step 2: Convert to fraction form
    362.10/499.69 = 196.31/x
  3. Step 3: Cross multiply
    362.10x = 499.69 × 196.31
  4. Step 4: Simplify right side
    362.10x = 98,094.14
  5. Step 5: Solve for x
    x = 98,094.14/362.10
  6. Step 6: Final answer
    x = 270.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.