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Finding the Fourth Proportional to 359.26, 538.90 and 164.46

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Solution

The fourth proportional to 359.26, 538.90 and 164.46 is: 246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.26 : 538.90 = 164.46 : x
  2. Step 2: Convert to fraction form
    359.26/538.90 = 164.46/x
  3. Step 3: Cross multiply
    359.26x = 538.90 × 164.46
  4. Step 4: Simplify right side
    359.26x = 88,627.49
  5. Step 5: Solve for x
    x = 88,627.49/359.26
  6. Step 6: Final answer
    x = 246.69

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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.