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Finding the Fourth Proportional to 359.71, 539.57 and 154.15

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Solution

The fourth proportional to 359.71, 539.57 and 154.15 is: 231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.71 : 539.57 = 154.15 : x
  2. Step 2: Convert to fraction form
    359.71/539.57 = 154.15/x
  3. Step 3: Cross multiply
    359.71x = 539.57 × 154.15
  4. Step 4: Simplify right side
    359.71x = 83,174.72
  5. Step 5: Solve for x
    x = 83,174.72/359.71
  6. Step 6: Final answer
    x = 231.23

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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.