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Finding the Fourth Proportional to 200.29, 301.96 and 186.37

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Solution

The fourth proportional to 200.29, 301.96 and 186.37 is: 280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.29 : 301.96 = 186.37 : x
  2. Step 2: Convert to fraction form
    200.29/301.96 = 186.37/x
  3. Step 3: Cross multiply
    200.29x = 301.96 × 186.37
  4. Step 4: Simplify right side
    200.29x = 56,276.29
  5. Step 5: Solve for x
    x = 56,276.29/200.29
  6. Step 6: Final answer
    x = 280.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.