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Finding the Fourth Proportional to 378.66, 568.39 and 159.43

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Solution

The fourth proportional to 378.66, 568.39 and 159.43 is: 239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.66 : 568.39 = 159.43 : x
  2. Step 2: Convert to fraction form
    378.66/568.39 = 159.43/x
  3. Step 3: Cross multiply
    378.66x = 568.39 × 159.43
  4. Step 4: Simplify right side
    378.66x = 90,618.42
  5. Step 5: Solve for x
    x = 90,618.42/378.66
  6. Step 6: Final answer
    x = 239.31

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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.