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Finding the Fourth Proportional to 378.74, 567.82 and 205.37

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Solution

The fourth proportional to 378.74, 567.82 and 205.37 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 567.82 = 205.37 : x
  2. Step 2: Convert to fraction form
    378.74/567.82 = 205.37/x
  3. Step 3: Cross multiply
    378.74x = 567.82 × 205.37
  4. Step 4: Simplify right side
    378.74x = 116,615.42
  5. Step 5: Solve for x
    x = 116,615.42/378.74
  6. Step 6: Final answer
    x = 307.91

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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.