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Finding the Fourth Proportional to 200.67, 299.06 and 196.62

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Solution

The fourth proportional to 200.67, 299.06 and 196.62 is: 293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 299.06 = 196.62 : x
  2. Step 2: Convert to fraction form
    200.67/299.06 = 196.62/x
  3. Step 3: Cross multiply
    200.67x = 299.06 × 196.62
  4. Step 4: Simplify right side
    200.67x = 58,801.18
  5. Step 5: Solve for x
    x = 58,801.18/200.67
  6. Step 6: Final answer
    x = 293.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.