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Finding the Fourth Proportional to 378.62, 568.28 and 196.14

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Solution

The fourth proportional to 378.62, 568.28 and 196.14 is: 294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.62 : 568.28 = 196.14 : x
  2. Step 2: Convert to fraction form
    378.62/568.28 = 196.14/x
  3. Step 3: Cross multiply
    378.62x = 568.28 × 196.14
  4. Step 4: Simplify right side
    378.62x = 111,461.46
  5. Step 5: Solve for x
    x = 111,461.46/378.62
  6. Step 6: Final answer
    x = 294.39

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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.