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Finding the Fourth Proportional to 359.42, 539.19 and 194.93

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Solution

The fourth proportional to 359.42, 539.19 and 194.93 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 539.19 = 194.93 : x
  2. Step 2: Convert to fraction form
    359.42/539.19 = 194.93/x
  3. Step 3: Cross multiply
    359.42x = 539.19 × 194.93
  4. Step 4: Simplify right side
    359.42x = 105,104.31
  5. Step 5: Solve for x
    x = 105,104.31/359.42
  6. Step 6: Final answer
    x = 292.43

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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.