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Finding the Fourth Proportional to 358.50, 494.78 and 203.26

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Solution

The fourth proportional to 358.50, 494.78 and 203.26 is: 280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.50 : 494.78 = 203.26 : x
  2. Step 2: Convert to fraction form
    358.50/494.78 = 203.26/x
  3. Step 3: Cross multiply
    358.50x = 494.78 × 203.26
  4. Step 4: Simplify right side
    358.50x = 100,568.98
  5. Step 5: Solve for x
    x = 100,568.98/358.50
  6. Step 6: Final answer
    x = 280.53

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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.