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Finding the Fourth Proportional to 378.14, 567.42 and 204.80

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Solution

The fourth proportional to 378.14, 567.42 and 204.80 is: 307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.14 : 567.42 = 204.80 : x
  2. Step 2: Convert to fraction form
    378.14/567.42 = 204.80/x
  3. Step 3: Cross multiply
    378.14x = 567.42 × 204.80
  4. Step 4: Simplify right side
    378.14x = 116,207.62
  5. Step 5: Solve for x
    x = 116,207.62/378.14
  6. Step 6: Final answer
    x = 307.31

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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.