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Finding the Fourth Proportional to 200.05, 275.74 and 196.40

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Solution

The fourth proportional to 200.05, 275.74 and 196.40 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.05 : 275.74 = 196.40 : x
  2. Step 2: Convert to fraction form
    200.05/275.74 = 196.40/x
  3. Step 3: Cross multiply
    200.05x = 275.74 × 196.40
  4. Step 4: Simplify right side
    200.05x = 54,155.53
  5. Step 5: Solve for x
    x = 54,155.53/200.05
  6. Step 6: Final answer
    x = 270.71

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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.