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Finding the Fourth Proportional to 359.67, 539.07 and 154.00

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Solution

The fourth proportional to 359.67, 539.07 and 154.00 is: 230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.67 : 539.07 = 154.00 : x
  2. Step 2: Convert to fraction form
    359.67/539.07 = 154.00/x
  3. Step 3: Cross multiply
    359.67x = 539.07 × 154.00
  4. Step 4: Simplify right side
    359.67x = 83,016.88
  5. Step 5: Solve for x
    x = 83,016.88/359.67
  6. Step 6: Final answer
    x = 230.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.