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Finding the Fourth Proportional to 359.43, 539.18 and 174.29

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Solution

The fourth proportional to 359.43, 539.18 and 174.29 is: 261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.43 : 539.18 = 174.29 : x
  2. Step 2: Convert to fraction form
    359.43/539.18 = 174.29/x
  3. Step 3: Cross multiply
    359.43x = 539.18 × 174.29
  4. Step 4: Simplify right side
    359.43x = 93,970.11
  5. Step 5: Solve for x
    x = 93,970.11/359.43
  6. Step 6: Final answer
    x = 261.44

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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.