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Finding the Fourth Proportional to 362.55, 500.31 and 196.76

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Solution

The fourth proportional to 362.55, 500.31 and 196.76 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.55 : 500.31 = 196.76 : x
  2. Step 2: Convert to fraction form
    362.55/500.31 = 196.76/x
  3. Step 3: Cross multiply
    362.55x = 500.31 × 196.76
  4. Step 4: Simplify right side
    362.55x = 98,441.00
  5. Step 5: Solve for x
    x = 98,441.00/362.55
  6. Step 6: Final answer
    x = 271.52

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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.