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Finding the Fourth Proportional to 358.27, 494.41 and 203.02

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Solution

The fourth proportional to 358.27, 494.41 and 203.02 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.27 : 494.41 = 203.02 : x
  2. Step 2: Convert to fraction form
    358.27/494.41 = 203.02/x
  3. Step 3: Cross multiply
    358.27x = 494.41 × 203.02
  4. Step 4: Simplify right side
    358.27x = 100,375.12
  5. Step 5: Solve for x
    x = 100,375.12/358.27
  6. Step 6: Final answer
    x = 280.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.