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Finding the Fourth Proportional to 362.65, 500.46 and 196.87

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Solution

The fourth proportional to 362.65, 500.46 and 196.87 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.65 : 500.46 = 196.87 : x
  2. Step 2: Convert to fraction form
    362.65/500.46 = 196.87/x
  3. Step 3: Cross multiply
    362.65x = 500.46 × 196.87
  4. Step 4: Simplify right side
    362.65x = 98,525.56
  5. Step 5: Solve for x
    x = 98,525.56/362.65
  6. Step 6: Final answer
    x = 271.68

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