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Finding the Fourth Proportional to 378.85, 568.29 and 196.60

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Solution

The fourth proportional to 378.85, 568.29 and 196.60 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.85 : 568.29 = 196.60 : x
  2. Step 2: Convert to fraction form
    378.85/568.29 = 196.60/x
  3. Step 3: Cross multiply
    378.85x = 568.29 × 196.60
  4. Step 4: Simplify right side
    378.85x = 111,725.81
  5. Step 5: Solve for x
    x = 111,725.81/378.85
  6. Step 6: Final answer
    x = 294.91

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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.