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Finding the Fourth Proportional to 359.36, 538.73 and 164.29

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Solution

The fourth proportional to 359.36, 538.73 and 164.29 is: 246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.36 : 538.73 = 164.29 : x
  2. Step 2: Convert to fraction form
    359.36/538.73 = 164.29/x
  3. Step 3: Cross multiply
    359.36x = 538.73 × 164.29
  4. Step 4: Simplify right side
    359.36x = 88,505.78
  5. Step 5: Solve for x
    x = 88,505.78/359.36
  6. Step 6: Final answer
    x = 246.29

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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.