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Finding the Fourth Proportional to 362.29, 499.96 and 196.50

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Solution

The fourth proportional to 362.29, 499.96 and 196.50 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.29 : 499.96 = 196.50 : x
  2. Step 2: Convert to fraction form
    362.29/499.96 = 196.50/x
  3. Step 3: Cross multiply
    362.29x = 499.96 × 196.50
  4. Step 4: Simplify right side
    362.29x = 98,241.65
  5. Step 5: Solve for x
    x = 98,241.65/362.29
  6. Step 6: Final answer
    x = 271.17

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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.