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Finding the Fourth Proportional to 200.06, 299.76 and 141.99

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Solution

The fourth proportional to 200.06, 299.76 and 141.99 is: 212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 299.76 = 141.99 : x
  2. Step 2: Convert to fraction form
    200.06/299.76 = 141.99/x
  3. Step 3: Cross multiply
    200.06x = 299.76 × 141.99
  4. Step 4: Simplify right side
    200.06x = 42,562.92
  5. Step 5: Solve for x
    x = 42,562.92/200.06
  6. Step 6: Final answer
    x = 212.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.