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Finding the Fourth Proportional to 359.81, 540.21 and 186.61

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Solution

The fourth proportional to 359.81, 540.21 and 186.61 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.81 : 540.21 = 186.61 : x
  2. Step 2: Convert to fraction form
    359.81/540.21 = 186.61/x
  3. Step 3: Cross multiply
    359.81x = 540.21 × 186.61
  4. Step 4: Simplify right side
    359.81x = 100,807.24
  5. Step 5: Solve for x
    x = 100,807.24/359.81
  6. Step 6: Final answer
    x = 280.17

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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.