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Finding the Fourth Proportional to 259.49, 358.26 and 200.38

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Solution

The fourth proportional to 259.49, 358.26 and 200.38 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 358.26 = 200.38 : x
  2. Step 2: Convert to fraction form
    259.49/358.26 = 200.38/x
  3. Step 3: Cross multiply
    259.49x = 358.26 × 200.38
  4. Step 4: Simplify right side
    259.49x = 71,786.35
  5. Step 5: Solve for x
    x = 71,786.35/259.49
  6. Step 6: Final answer
    x = 276.64

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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.