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Finding the Fourth Proportional to 359.72, 539.58 and 103.22

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Solution

The fourth proportional to 359.72, 539.58 and 103.22 is: 154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.72 : 539.58 = 103.22 : x
  2. Step 2: Convert to fraction form
    359.72/539.58 = 103.22/x
  3. Step 3: Cross multiply
    359.72x = 539.58 × 103.22
  4. Step 4: Simplify right side
    359.72x = 55,694.58
  5. Step 5: Solve for x
    x = 55,694.58/359.72
  6. Step 6: Final answer
    x = 154.83

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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.