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Finding the Fourth Proportional to 358.70, 494.85 and 203.42

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Solution

The fourth proportional to 358.70, 494.85 and 203.42 is: 280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.70 : 494.85 = 203.42 : x
  2. Step 2: Convert to fraction form
    358.70/494.85 = 203.42/x
  3. Step 3: Cross multiply
    358.70x = 494.85 × 203.42
  4. Step 4: Simplify right side
    358.70x = 100,662.39
  5. Step 5: Solve for x
    x = 100,662.39/358.70
  6. Step 6: Final answer
    x = 280.63

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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.