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Finding the Fourth Proportional to 359.48, 538.04 and 222.64

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Solution

The fourth proportional to 359.48, 538.04 and 222.64 is: 333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.48 : 538.04 = 222.64 : x
  2. Step 2: Convert to fraction form
    359.48/538.04 = 222.64/x
  3. Step 3: Cross multiply
    359.48x = 538.04 × 222.64
  4. Step 4: Simplify right side
    359.48x = 119,789.23
  5. Step 5: Solve for x
    x = 119,789.23/359.48
  6. Step 6: Final answer
    x = 333.23

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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.