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Finding the Fourth Proportional to 259.94, 358.89 and 200.82

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Solution

The fourth proportional to 259.94, 358.89 and 200.82 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.94 : 358.89 = 200.82 : x
  2. Step 2: Convert to fraction form
    259.94/358.89 = 200.82/x
  3. Step 3: Cross multiply
    259.94x = 358.89 × 200.82
  4. Step 4: Simplify right side
    259.94x = 72,072.29
  5. Step 5: Solve for x
    x = 72,072.29/259.94
  6. Step 6: Final answer
    x = 277.27

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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.