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Finding the Fourth Proportional to 358.26, 494.40 and 200.89

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Solution

The fourth proportional to 358.26, 494.40 and 200.89 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.26 : 494.40 = 200.89 : x
  2. Step 2: Convert to fraction form
    358.26/494.40 = 200.89/x
  3. Step 3: Cross multiply
    358.26x = 494.40 × 200.89
  4. Step 4: Simplify right side
    358.26x = 99,317.54
  5. Step 5: Solve for x
    x = 99,317.54/358.26
  6. Step 6: Final answer
    x = 277.23

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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.