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Finding the Fourth Proportional to 359.48, 539.17 and 164.42

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Solution

The fourth proportional to 359.48, 539.17 and 164.42 is: 246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.48 : 539.17 = 164.42 : x
  2. Step 2: Convert to fraction form
    359.48/539.17 = 164.42/x
  3. Step 3: Cross multiply
    359.48x = 539.17 × 164.42
  4. Step 4: Simplify right side
    359.48x = 88,650.33
  5. Step 5: Solve for x
    x = 88,650.33/359.48
  6. Step 6: Final answer
    x = 246.61

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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.