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Finding the Fourth Proportional to 359.10, 538.14 and 163.62

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Solution

The fourth proportional to 359.10, 538.14 and 163.62 is: 245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 538.14 = 163.62 : x
  2. Step 2: Convert to fraction form
    359.10/538.14 = 163.62/x
  3. Step 3: Cross multiply
    359.10x = 538.14 × 163.62
  4. Step 4: Simplify right side
    359.10x = 88,048.14
  5. Step 5: Solve for x
    x = 88,048.14/359.10
  6. Step 6: Final answer
    x = 245.19

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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.