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Finding the Fourth Proportional to 235.87, 353.18 and 189.97

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Solution

The fourth proportional to 235.87, 353.18 and 189.97 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.87 : 353.18 = 189.97 : x
  2. Step 2: Convert to fraction form
    235.87/353.18 = 189.97/x
  3. Step 3: Cross multiply
    235.87x = 353.18 × 189.97
  4. Step 4: Simplify right side
    235.87x = 67,092.65
  5. Step 5: Solve for x
    x = 67,092.65/235.87
  6. Step 6: Final answer
    x = 284.45

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Why These Related Problems?

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