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Finding the Fourth Proportional to 359.70, 539.37 and 197.25

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Solution

The fourth proportional to 359.70, 539.37 and 197.25 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.70 : 539.37 = 197.25 : x
  2. Step 2: Convert to fraction form
    359.70/539.37 = 197.25/x
  3. Step 3: Cross multiply
    359.70x = 539.37 × 197.25
  4. Step 4: Simplify right side
    359.70x = 106,390.73
  5. Step 5: Solve for x
    x = 106,390.73/359.70
  6. Step 6: Final answer
    x = 295.78

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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.