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Finding the Fourth Proportional to 359.74, 539.24 and 197.08

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Solution

The fourth proportional to 359.74, 539.24 and 197.08 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.74 : 539.24 = 197.08 : x
  2. Step 2: Convert to fraction form
    359.74/539.24 = 197.08/x
  3. Step 3: Cross multiply
    359.74x = 539.24 × 197.08
  4. Step 4: Simplify right side
    359.74x = 106,275.26
  5. Step 5: Solve for x
    x = 106,275.26/359.74
  6. Step 6: Final answer
    x = 295.42

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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.