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Finding the Fourth Proportional to 359.64, 539.62 and 194.92

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Solution

The fourth proportional to 359.64, 539.62 and 194.92 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 539.62 = 194.92 : x
  2. Step 2: Convert to fraction form
    359.64/539.62 = 194.92/x
  3. Step 3: Cross multiply
    359.64x = 539.62 × 194.92
  4. Step 4: Simplify right side
    359.64x = 105,182.73
  5. Step 5: Solve for x
    x = 105,182.73/359.64
  6. Step 6: Final answer
    x = 292.47

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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.