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Finding the Fourth Proportional to 359.67, 540.04 and 205.77

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Solution

The fourth proportional to 359.67, 540.04 and 205.77 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.67 : 540.04 = 205.77 : x
  2. Step 2: Convert to fraction form
    359.67/540.04 = 205.77/x
  3. Step 3: Cross multiply
    359.67x = 540.04 × 205.77
  4. Step 4: Simplify right side
    359.67x = 111,120.82
  5. Step 5: Solve for x
    x = 111,120.82/359.67
  6. Step 6: Final answer
    x = 308.96

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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.