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Finding the Fourth Proportional to 358.25, 494.40 and 203

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Solution

The fourth proportional to 358.25, 494.40 and 203 is: 280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.25 : 494.40 = 203 : x
  2. Step 2: Convert to fraction form
    358.25/494.40 = 203/x
  3. Step 3: Cross multiply
    358.25x = 494.40 × 203
  4. Step 4: Simplify right side
    358.25x = 100,363.20
  5. Step 5: Solve for x
    x = 100,363.20/358.25
  6. Step 6: Final answer
    x = 280.15

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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.