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Finding the Fourth Proportional to 359.33, 538.81 and 196.88

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Solution

The fourth proportional to 359.33, 538.81 and 196.88 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.33 : 538.81 = 196.88 : x
  2. Step 2: Convert to fraction form
    359.33/538.81 = 196.88/x
  3. Step 3: Cross multiply
    359.33x = 538.81 × 196.88
  4. Step 4: Simplify right side
    359.33x = 106,077.73
  5. Step 5: Solve for x
    x = 106,077.73/359.33
  6. Step 6: Final answer
    x = 295.21

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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.