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Finding the Fourth Proportional to 359.69, 539.53 and 103.19

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Solution

The fourth proportional to 359.69, 539.53 and 103.19 is: 154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.69 : 539.53 = 103.19 : x
  2. Step 2: Convert to fraction form
    359.69/539.53 = 103.19/x
  3. Step 3: Cross multiply
    359.69x = 539.53 × 103.19
  4. Step 4: Simplify right side
    359.69x = 55,674.10
  5. Step 5: Solve for x
    x = 55,674.10/359.69
  6. Step 6: Final answer
    x = 154.78

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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.