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Finding the Fourth Proportional to 359.99, 539.62 and 197.33

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Solution

The fourth proportional to 359.99, 539.62 and 197.33 is: 295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.99 : 539.62 = 197.33 : x
  2. Step 2: Convert to fraction form
    359.99/539.62 = 197.33/x
  3. Step 3: Cross multiply
    359.99x = 539.62 × 197.33
  4. Step 4: Simplify right side
    359.99x = 106,484.07
  5. Step 5: Solve for x
    x = 106,484.07/359.99
  6. Step 6: Final answer
    x = 295.80

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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.