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Finding the Fourth Proportional to 359.93, 538.97 and 197.42

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Solution

The fourth proportional to 359.93, 538.97 and 197.42 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.93 : 538.97 = 197.42 : x
  2. Step 2: Convert to fraction form
    359.93/538.97 = 197.42/x
  3. Step 3: Cross multiply
    359.93x = 538.97 × 197.42
  4. Step 4: Simplify right side
    359.93x = 106,399.78
  5. Step 5: Solve for x
    x = 106,399.78/359.93
  6. Step 6: Final answer
    x = 295.62

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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.