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Finding the Fourth Proportional to 380.69, 571.34 and 198.14

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Solution

The fourth proportional to 380.69, 571.34 and 198.14 is: 297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.69 : 571.34 = 198.14 : x
  2. Step 2: Convert to fraction form
    380.69/571.34 = 198.14/x
  3. Step 3: Cross multiply
    380.69x = 571.34 × 198.14
  4. Step 4: Simplify right side
    380.69x = 113,201.46
  5. Step 5: Solve for x
    x = 113,201.46/380.69
  6. Step 6: Final answer
    x = 297.36

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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.