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Finding the Fourth Proportional to 378.20, 566.93 and 204.71

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Solution

The fourth proportional to 378.20, 566.93 and 204.71 is: 306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.20 : 566.93 = 204.71 : x
  2. Step 2: Convert to fraction form
    378.20/566.93 = 204.71/x
  3. Step 3: Cross multiply
    378.20x = 566.93 × 204.71
  4. Step 4: Simplify right side
    378.20x = 116,053.92
  5. Step 5: Solve for x
    x = 116,053.92/378.20
  6. Step 6: Final answer
    x = 306.86

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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.