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Finding the Fourth Proportional to 378.33, 567.56 and 205.17

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Solution

The fourth proportional to 378.33, 567.56 and 205.17 is: 307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.33 : 567.56 = 205.17 : x
  2. Step 2: Convert to fraction form
    378.33/567.56 = 205.17/x
  3. Step 3: Cross multiply
    378.33x = 567.56 × 205.17
  4. Step 4: Simplify right side
    378.33x = 116,446.29
  5. Step 5: Solve for x
    x = 116,446.29/378.33
  6. Step 6: Final answer
    x = 307.79

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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.