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Finding the Fourth Proportional to 359.64, 539.42 and 103.16

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Solution

The fourth proportional to 359.64, 539.42 and 103.16 is: 154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 539.42 = 103.16 : x
  2. Step 2: Convert to fraction form
    359.64/539.42 = 103.16/x
  3. Step 3: Cross multiply
    359.64x = 539.42 × 103.16
  4. Step 4: Simplify right side
    359.64x = 55,646.57
  5. Step 5: Solve for x
    x = 55,646.57/359.64
  6. Step 6: Final answer
    x = 154.73

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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.