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Finding the Fourth Proportional to 359.37, 538.94 and 164.25

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Solution

The fourth proportional to 359.37, 538.94 and 164.25 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.37 : 538.94 = 164.25 : x
  2. Step 2: Convert to fraction form
    359.37/538.94 = 164.25/x
  3. Step 3: Cross multiply
    359.37x = 538.94 × 164.25
  4. Step 4: Simplify right side
    359.37x = 88,520.07
  5. Step 5: Solve for x
    x = 88,520.07/359.37
  6. Step 6: Final answer
    x = 246.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.