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Finding the Fourth Proportional to 378.87, 568.47 and 196.16

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Solution

The fourth proportional to 378.87, 568.47 and 196.16 is: 294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.87 : 568.47 = 196.16 : x
  2. Step 2: Convert to fraction form
    378.87/568.47 = 196.16/x
  3. Step 3: Cross multiply
    378.87x = 568.47 × 196.16
  4. Step 4: Simplify right side
    378.87x = 111,511.08
  5. Step 5: Solve for x
    x = 111,511.08/378.87
  6. Step 6: Final answer
    x = 294.33

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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.