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Finding the Fourth Proportional to 200.45, 301.37 and 185.42

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Solution

The fourth proportional to 200.45, 301.37 and 185.42 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.45 : 301.37 = 185.42 : x
  2. Step 2: Convert to fraction form
    200.45/301.37 = 185.42/x
  3. Step 3: Cross multiply
    200.45x = 301.37 × 185.42
  4. Step 4: Simplify right side
    200.45x = 55,879.85
  5. Step 5: Solve for x
    x = 55,879.85/200.45
  6. Step 6: Final answer
    x = 278.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.