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Finding the Fourth Proportional to 358.11, 494.16 and 200.73

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Solution

The fourth proportional to 358.11, 494.16 and 200.73 is: 276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.11 : 494.16 = 200.73 : x
  2. Step 2: Convert to fraction form
    358.11/494.16 = 200.73/x
  3. Step 3: Cross multiply
    358.11x = 494.16 × 200.73
  4. Step 4: Simplify right side
    358.11x = 99,192.74
  5. Step 5: Solve for x
    x = 99,192.74/358.11
  6. Step 6: Final answer
    x = 276.99

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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.