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Finding the Fourth Proportional to 359.36, 539.01 and 102.86

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Solution

The fourth proportional to 359.36, 539.01 and 102.86 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.36 : 539.01 = 102.86 : x
  2. Step 2: Convert to fraction form
    359.36/539.01 = 102.86/x
  3. Step 3: Cross multiply
    359.36x = 539.01 × 102.86
  4. Step 4: Simplify right side
    359.36x = 55,439.87
  5. Step 5: Solve for x
    x = 55,439.87/359.36
  6. Step 6: Final answer
    x = 154.28

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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.