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Finding the Fourth Proportional to 359.53, 539.01 and 164.66

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Solution

The fourth proportional to 359.53, 539.01 and 164.66 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.53 : 539.01 = 164.66 : x
  2. Step 2: Convert to fraction form
    359.53/539.01 = 164.66/x
  3. Step 3: Cross multiply
    359.53x = 539.01 × 164.66
  4. Step 4: Simplify right side
    359.53x = 88,750.69
  5. Step 5: Solve for x
    x = 88,750.69/359.53
  6. Step 6: Final answer
    x = 246.85

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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.